Elaine's Fraction Growing Post

My Fraction Growing Post

Part 1

a) My Fraction Video



b) Multiplying Fractions

From the text book, I will use question 6 a) to explain how you can multiply fractions.

There are many ways to show what the product of 4 x 1/2 is. But the equation is basically telling you to add up 1/2, 4 times. Here is one way:












Another way to show multiplication is using a number line :












One last way is to multiply the numerators and the denominators:













c) Dividing Fractions

I used question 5 a) from the text book to help me explain how to divide fractions.

One way you can show you divided a fraction is by using a fraction strip. First you show your fraction on the strip and then you divide the strip by the divisor:















Another way you can divide a fraction is by multiplying the denominator of the fraction by the divisor:












d) Word Problems

Here, I'll show you how to solve a word problem using a question from the text book.

7. A pitcher of orange juice is 2/3 full. If four students equally share the juice, what fraction of the full pitcher does each student get?

To solve word problems, you have to find what it is asking. For example, in this question it is asking you to divide the pitcher of orange juice between 4 students. Then you set up a simple sentence answer. Next, you solve the problem. Lastly, you fill in the sentence.



















Part 2


1) Fraction x Fraction

When you multiply a proper fraction by another proper fraction, you follow two steps. First, multiply the numerators my each other and then the denominators. The second step you do after multiplying, is that you put the fraction in lowest terms if it is not already.





















2) Mixed Number x Fraction

To find the product of a mixed number and a fraction, you have to follow a few steps. The first step is to convert the mixed number into an improper fraction by multiplying the whole by the denominator and the adding the numerator. After you get the improper fraction, you multiply the numerators and denominators. If your answer is an improper fraction, you convert it back to a mixed number by dividing the numerator by the denominator then put in it lowest terms. But if your answer is a proper fraction, you just convert it to lowest terms.























3) Mixed Number x Mixed Number

The steps to find the answer of a multiplication question using mixed numbers is that first, you have to turn the mixed numbers into improper fractions. Then, you multiply the numerators and denominators. After that, you turn that improper fraction back into a mixed number. Finally, you put it into lowest terms.























Part 3

In today's class, we learned how to divide fractions. We came up with three different ways to find them. But for me, I'm more comfortable with using only two of the ways so those will be the two I will explain.

a) Dividing Proper Fractions

When you divide a proper fraction, one way you can do it is by using cross multiplication. You get the denominator by multiplying the denominator of the dividend and the numerator of the divisor. To get the numerator, you multiply the numerator of the dividend by the denominator of the divisor. If it is an improper fraction, convert it into a mixed fraction then put it into lowest terms.





















The second way to get the answer is by finding a common denominator. When you get the common denominators. The numerator of the dividend it the numerator of the quotient and numerator of the divisor is the denominator for the quotient. And again if it is an improper fraction, turn it into a mixed number then convert it into lowest terms.
























b) Dividing a Mixed Number and a Proper Fraction
Here, I'll explain two ways to find the quotient of a mixed number and a proper fraction.

The first way you can find the quotient is by cross multiplying. First, you convert the mixed number into a improper fraction. Then you multiply the numerator of the dividend the denominator of the divisor to the numerator of the quotient. Next, you multiply the denominator of the dividend and the numerator of the divisor to get the denominator of the quotient. After that, if it's an improper fraction convert it into a mixed number. Lastly, put it into lowest terms.




















The second way you can find the answer is by using a common factor. The first thing you do is to convert any mixed numbers into an improper fraction. Next, you find a common factor. After you convert the fractions so they have a common factor, you will easily find the quotient. The numerator of the quotient is the same as the numerator of the dividend and the denominator of the quotient is the same as the numerator of the divisor. After that, you turn the improper fraction into a mixed number. Lastly, you put it into lowest terms.

Ammorn's Fraction Growing Post

In a few of the classes, we learned how to multiply and divide fractions.

A) I still didn't get to record my quiz.

B) 4 multiplied by 1/2

C)1/4 divided by 2

D) 7. A pitcher of orange juice is 2/3 full. If four students equally share the juice, what fraction of the full pitcher does each student get?

2/3 divided by 4

PART 2

3/4 x 7/8

1 1/5 x 2/5

First I converted the mixed fraction into an improper fraction to make it easier to multiply. To convert it, I multipled the denominator by the whole number and then I added the numerator. So the improper fraction would be 6/5.

So then I change the equation to 6/5 x 2/5. After, I multiply the numerators together and the Denominators together. The answer is 12/25.

2 3/5 x 3 4/5

For this question, I have to convert the mixed fractions into improper fractions like I did in the above question. So the new equation is, 13/5 x 19/5. Then multiple the numerators together and the denominators together. The answer is 182/25, but the simplified answer is 7 22/25

Jamie's Fraction Growing Post

Part 1
In math, we were taught how to divide and multiply fractions with whole numbers.

This is my fraction quiz, and it will show you how I answered all the questions.

I will show you two ways to multiply a fraction with a whole number.

ex. 5 x 2/3

One way you can solve it, is by using pictures.

The second way to solve it, was by multiplying the whole number by the numerator of the fraction.

Now, I will show you how to divide a fraction by a whole number.

ex. 1/5 ÷ 2

To divide a fraction by a whole number, you have to draw the fraction first. You divide the whole into 5 parts, since the fraction is 1/5 as shown on the left in the picture. Then, to divide it by a whole number, you have to put a horizontal line across to show that you're dividing the fraction into 2.

Finally, I had to pick a word problem and show you how to solve it.

A pitcher of orange juice is 2/3 full. If four students equally share the juice, what fraction of the full pitcher does each student get?

To solve this problem, we have to divide a whole into thirds, and colour in 2 parts. Now, since the orange juice is equally shared with four people, you have to divide the 2/3 into 4 with horizontal lines, as showed in the picture.

Simple sentence answer: Each student gets 2/12 or 1/6 of the orange juice.

Part 2 - Multiplying

This part of the fraction growing post is about multiplying fractions with mixed numbers, and improper fractions.

First, I will show you how to multiply a fraction with a fraction.
To multiply fractions, all you have to do is multiply the numerators and the denominators to get your answer as shown in the picture below.

Now I will show you how to multiply a mixed fraction with a fraction.

All you need to do, is convert the mixed fraction into an improper fraction, which makes it easier to multiply. Now, since the number became 39/56, that is the answer. I cannot simplify the fraction, so you just have to leave it that way.

Lastly, this is how to multiply mixed numbers, with mixed numbers.

To multiply two mixed numbers, you have to convert them both to improper fractions. Then, Ms. U taught us a way to convert an improper fraction back to a mixed number.

Who goes in the house? The numerator does.

Who's knocking on the door? The denominator does.

Then, you have to find out how many times 16 (or who ever is 'knocking on the door') goes into 121 (the one that's in the house). Then that's the whole number you put on the top. Next, you have to multiply the number on the top which is 7, and the number knocking on the door which is 16. Now you have to subtract 112 from 121. Since that gives you 9, that is the numerator of the fraction that goes with the mixed fraction.

Thanks for reading my post and please please please leave a comment! :)

Part 3 - Dividing Fractions

Explain:

1 1/2 ÷ 3/4 = 2

The way I solved this, was I used cross multiplication, or whatever that's called. :P But first, I converted the mixed number into an improper fraction, to help me multiply the fractions faster. Then, now that I have the 2 fractions, I multiplied the denominator of the first fraction, and the numerator of the second number, which makes the denominator of the answer. Next, I multiplied the numerator of the first fraction, and the denominator of the second fraction, which makes the numerator of the answer. That's how I got 12/6. :D

3/4 ÷ 1/2 = 6/4 or 1 1/2

I did the same thing for this question, but I just didn't have to convert the mixed fraction into an improper because there is no mixed fraction. :)

Larrisa's Fraction Growing Post

Part 1


a) Here is a video of how I got my answers to my fraction quiz.

It shows you how to multiply and divide fractions with whole numbers.







b) Explain two ways to multiply a fraction by a whole number.

Here is an example of two ways to multiply a fraction by a whole number.

I chose the question 4 x 1/2 .
- The first way you could do is draw 4 groups of 1/2 to get the answer of 4/2 or 2.










- The second way you could do is 4/1 x 1/2 . You multiply the 2 numerators and then you multiply the two denominators. If you don't get it , here is a picture :


c) Explain how to divide a fraction by a whole number.

Here is an example of how to divide a fraction by a whole number.

I chose the question 1/2 divided by 4.

- To divide a fraction by a whole number you have to draw the fraction which is 1/2 and shade in 1/2 of it and then you divide it by the whole number which is 4 , when you divide it you have to divide it in a horizontal line. If your confused , here is a picture :



















d) Pick a word problem.

Word Problem : A pitcher of orange juice is 2/3 full. If four students equally share the juice, what fraction of the full pitcher does each student get ?

For a word problem you need to read the question and find the key words then highlight them . While your doing a word problem, you need a simple sentence.
Key Words : Pitcher of orange juice 2/3 full. Four students What fraction of the full pitcher does each student get ?


















Simple Sentence : Each student gets 1/6 of the full pitcher. How I got the answer : First find the multiple of 4 in the denominator that is 3 which equals to 12 then multiple 2 by 4 which equals to 8, then divide 8 into4 because there is 4 students, your answer will be 2/12 = 1/6.

THANKS FOR READING MY POST (:

IF I HAVE ANY MISTAKES PLEASE COMMENT (:


Part 2

a) Here is a picture of how to multiply a fraction by a fraction.
How I got the answer : I multiplied the 2 numerators and the 2 denominators. If you don't get it here is a picture below :













b) Here is a picture of how to multiply a fraction by a mixed number.
How I got the answer : I multiplied the whole number by the denominator to get 5 then I added the numerator so it equals to 6 then I kept the fraction the same and multiply the them together to get 12/25.













c) Here's a picture of how to multiply a mixed number by a mixed number.
How I got the answer : I multiplied the whole with the denominator which equals to 10 then I added the 3 to get 13. Same with the other side. Then I times those 2 to get 247/25. After I had to divide it because 247 is to large. I can't explain it... so here's the picture :












IF I MADE ANY MISTAKES PLEASE COMMENT !


Part 3

a) How to divide : You divide the first fraction which is 3/4 so you draw a fraction strip and divide it by 4 and color in 3, because of 3/4. Then you divide it by 1/2 going horizontal. then you color in 1 because of 1/2. If your confused here's a picture.













( sorry if the picture is blurry )



















SORRY IF THE FONT LOOKS WEIRD .


IF I MADE ANY MISTAKES , PLEASE COMMENT (:

Argie's Growing Post

In class we learned how to multiply, divide, add and subtract fractions with whole numbers.
Here is my fraction quiz, this shows how i got my answers.





Now we had to pick a question from page 202, 208-209, and a word problem on page 208.

Two ways to multiply a fraction is to use a diagram or using fraction chart.
You can add up all the halves, or you could times the numerators together and multiply the denominators to get your answer.


Now we have to pick a question from page 208-209.
To divide a fraction by a whole number is simple. First you draw a picture and cut it into the fraction your dividing with, and shade in the part of the whole. After that is done, divide the diagram by the whole number in your equation. you divide the diagram using a horizontal line.


Finally we pick a word problem from page 208.
Iqaluit has frost on about 3/4 of the days in a year. It has frost on five times as many days as Vancouver. On what fraction of the days of the year does Vancouver have
frost?


sorry if pictures are a bit small

Sharmaine's growing post

A) This video show how i got my answer to my fraction quiz.
It show you how to divide and multiply factions with whole numbers.





B) Two ways of multiplying a fraction with a whole number is by drawing a picture.

-an example would be drawing 5 groups of 2/3. Then you would add up each group giving your answer.

Another way would be multiplying the two numerators together and keeping the denominator the same.






C) To divide a fraction by a whole number you can draw a fraction strip.

My example is 1/4 ÷ 2.

Use your fraction strip and divide it into fourths. Then color in 1/4 of it. Next you divide your fraction strip in half horizontally. As shown in the picture below.







C) How to solve a word problem:
-well first the problem is:
A pitcher of orange juice is 2/3 full. If four students equally share the juice, what fraction of the full pitcher does each student get?



Next you find the key words:
-2/3 full
-4 students
-what fraction of the full pitcher does each student get?


You will need to have a simple sentence answer:
Each student will get______of the pitcher of orange juice.



Finally you will have to solve it. To solve this equation i used a fraction strip and divided it into 3rds and colored in 2/3 of it. Next I divided the strip in 4 vertical and colored in 2 rectangles giving me my answer.






COMMENT!

Part 2:

a) fraction x fraction: when you multiply a fraction by fraction, the first step is to multiply the two numerators. Then multiply the two denominators. Once you are done that you must simply your fraction if it is not yet.

3/4 x 2/5 = 6/20

b)fraction x mixed number: When you multiply a mixed number and a fraction the first step is to convert the mixed number into an improper fraction by multiplying the whole by the denominator and the adding the numerator. once you get the improper fraction, you multiply the two numerators and the two denominators. If your answer is an improper fraction, you have to change it back to a mixed number by dividing the numerator by the denominator. Then put in it lowest terms. But if your answer is a proper fraction, you just simply it to the lowest terms.

4 7/8 x 1/7 = 39/56

c)mixed number x mixed number: When you multiply mixed numbers you have to change them into improper fractions. next, you multiply the numerators and denominators. After that, you turn that improper fraction back into a mixed number. Once everything is done we simply it .

2 1/3 x 2 1/3 = 14/9


COMMENT!

Part 3:

How many 3/4's are there in 1 1/2?

To answer this equation first you draw 1 1/2 color in the whole and 1/2. next divide 1/2 into 4th. finally count how many times 3 goes into 1 1/2


how many 1/2's are there in 3/4?

To answer this equation first you draw 3/4. Next you draw a line going across to draw the 1/2. The numerator of the half is 1, so how many times does 1 goes into the shades squares? 6 times.



COMMENT!

Mary Jane's Fraction Growing Post

In our past few math classes, we learned how to multiply and divide fractions.

Here is a video showing what I did correctly on the fraction quiz and what I did wrong. I will show you the correct work for the questions I got wrong.

I will now show you how to multiply a fraction by a whole number using one of the questions on page 202 of our Math Links textbook.

I chose to do my example on the question 5 x 2/3.

To find the answer:
- you could add 2/3 5 times, like this:



- you could have 5/1 x 2/3 and multiply the numerator and denominator of each fraction like this:

Next, I will show you how to divide a fraction by a whole number using one of the questions on page 208 of our Math Links textbook.

The question I chose as my example is 1/3 ÷ 3.

To find the answer:

- use a diagram showing a fraction strip divided into 1/3 then you divide that 1/3 into 3 portions using horizontal lines, as shown in this picture:

Lastly, I will chose a word problem to solve from page 208 of our Math Links textbook.

Problem: A pitcher of orange juice is 2/3 full. If four students equally share the juice, what fraction of the full pitcher does each student get?

What you have to do to solve it:

- find the key words in the question that will help you solve the problem

The key words in this question is 2/3, four students, and what fraction of the full pitcher does each student get.

- you now have to make a simple sentence answer

Each student gets ___ of the full pitcher of orange juice.

- you can now solve the problem

To solve the problem, I drew a fraction strip and divided that into 2/3, then I divided that 2/3 into 4 portions using horizontal lines. Since our numerator is 2, you then have to shade in 2 rectangles in the new fraction strip that contains 12 rectangles.

Each student gets 2/12 or 1/6 of the full pitcher of orange juice.

Part 2:

For part 2 of my fraction growing post, I will be showing you how to multiply fractions.

1) Multiplying a fraction by a fraction

To multiply a fraction by a fraction, you will have to multiply the 2 numerators and the 2 denominators. When you have done that you will then have to put the fraction into its simplest terms if possible.

2) Multiplying a fraction by a mixed number

To multiply a fraction by a mixed number you will have to convert the mixed number into an improper fraction. To do that you will have to multiply the whole number by the denominator and then add the numerator. Once you have done that you will have to multiply the numerators and the denominators. If the product you get is an improper fraction you will have to convert it to a mixed number in lowest terms. If the product you get is a proper fraction, all you have to do is put it in its simplest terms.

3) Multiplying a mixed number by a mixed number

To multiply a mixed number by a mixed number you will have to convert both mixed numbers into an improper fraction. You will again have to multiply the whole number by the denominator and add the numerator. Once you get the improper fraction you will have to multiply the numerators and the denominators. When you get the product as an improper fraction you will have to convert it back to a mixed number. To do that you will have to find how many times the denominator goes into the numerator. After converting, you will have to put it in its simplest terms.

Part 3:

For today's class we wrote some notes on dividing fractions in our foldable. We were also asked to do 2 questions and show how we got our answer.

One of the questions were: 1 1/2 ÷ 3/4 = 2

How many 3/4 are there in 1 1/2 ?

Answer: 2

What I did was I drew 2 fraction strips and divided each into 4 portions. I divided it into 4 because you have to find how many 3/4s are in 1 1/2. I then colored all 4 portions in one strip to represent 1 in 1 1/2 then I shaded 2 portions in the other to represent 1/2 in 1 1/2. Now I found how many 3/4s are in 1 1/2 and I got 2 3/4s in 1 1/2.

Here is a picture to show what I did:

The other question was : 3/4 ÷ 1/2 = 6

How many 1/2s are in 3/4?

Answer: 6

To find the answer I drew a fraction strip and divided that into 4's. After that, I divided the strip into a half to represent 1/2. I came up with 8 little squares in my fraction strip. I now colored in 6 little squares altogether because if you looked at the strip without the half it looks like you colored 3/4. Since you technically colored 6 little squares in, that becomes your answer.

Here is a picture to show what I did:

THANKS FOR READING MY POST AND PLEASE LEAVE A COMMENT !