## Sunday, March 28, 2010

### Ralph's Fraction Growing Post

a) Here is a video of how I got my answers on my fraction test.

b) Next, I will explain two ways to multiply a fraction by a whole number using a question from page 202.

One way you could solve the problem is drawing a diagram to show how you did it.

Another way you could solve the problem is multiplying the numerator of a fraction by the other fractions numerator and multiplying one fractions denominator by the other fractions denominator.

eg. 6 x 1/4

c) Next, I will explain how to divide a fraction by a whole number using a question from page 208.

When you divide a fraction by a whole number one of the best ways to solve the problem is with a diagram.

You draw the original fraction, then you make a fraction of that fraction.

eg. 1/4 o/o 2 = 1/8

So you take 1/4. Then you split 1/4 in two. So you end up with 1/8. You get 1/8 because you have to divide all the 1/4's into two so there would be 8 pieces.

d) Finally I will solve one word problem from page 208.

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

The question is asking us 2/3 o/o 4 students.

This is how I got my answer:

First I drew 2/3. Next, for each third, I split each one of them into 4th's. Next I filled in 2 squares because the original fraction was 2/3.

When you count up all the squares, there are 12 squares.

The fraction is 2/12.
Each Student gets 2/12 of the juice.

PART 2 !

Fraction x Fraction

When you multiply a fraction by a fraction, you multiply the two numerators and the two denominators to get a new fraction.

eg.

Fraction x Mixed Number
When you are multiplying a mixed number by a fraction you convert the mixed number by multiplying the whole number by denominator then adding the numerator of the fraction. Then you multiply the two numerators and the two denominators.
eg.

Mixed Number x Mixed Number
When you are multiplying mixed numbers by mixed numbers, you convert the mixed numbers by multiplying the whole number by the denominator then adding the numerator of the mixed number. Then you multiply the two numerators and two denominators. Next you convert the new fraction back to a mixed number if the fraction is really big and can't be simplified.

eg,

PART 3

Today we wrote down how to divide fractions and mixed numbers. We also had to answer 2 questions.

1 1/2 -/- 3/4

Which means "How many 3/4 in 1 1/2."

This is how I got my answer

3/4 -/- 1/2

Which means "How many 1/2 are in 3/4"

This is how I got my answer