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 Subject: Order the fractions from least to greatest Name: justin Who are you: Student I am a sixth grader, and I am having trouble with the last question in my homework assisgnment. 1/6, 2/5, 3/7, 3/5! Please help!

Justin,

We have two responses for you

You need to exprress each of the fractions with the same denominator, a common denominator. Let me show you how to order 2/3, 3/5 and 3/4. To find a common denominator you need a number which is a multiple of 3, 5 and 4. One possibility is 3 5 4 = 60.

2/3 = (2 5 4)/(3 5 4) = 40/60
3/5 = (3 3 4)/(3 5 4) = 36/60
3/4 = (3 3 5)/(3 5 4) = 45/60

Thus 3/5 < 2/3 < 3/4.

Penny

Hi Justin. The easiest way to tell which of two fractions is larger
is to "cross-multiply" and compare. For example, let's compare 2/5
and 3/7:

Take the number on the top of the left fraction and multiply by the
bottom of the right fraction. Write this product on the left on a new
line:
2 x 7 is 14.

Take the number on the bottom of the left fraction and multiply by the
top of the right fraction. Write this to the right of the first
product:
5 x 3 is 15.

14 15
Which is larger, the right or the left?
14 < 15

so the right fraction is larger than the left as well:
2/5 < 3/7.

You can compare each pair of fractions and put it all in order.

Hope this helps you,
Stephen La Rocque.

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