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Order the value of the quotient from the smallest (top) to largest (bottom)

2/7 divided by 4/5
1 6/7 divided by 3
6/11 divided by 2 2/3
3/10 divided by 1/8

1 Answer

4 votes

Answer:

6/11 divided by 2 2/3 (=9/44)

2/7 divided by 4/5 (=5/14 or 15/42 scaled up)

1 6/7 divided by 3 (= 13/21 or 26/42 scaled up)

3/10 divided by 1/8 (=2 2/5)

Explanation:

You cannot divide a fraction by a fraction. Instead, multiply by the reciprocal ( flip it)

2/7 divided by 4/5= 2/7 x 5/4

Multiply straight across the top, 2x5= 10

10 is the numerator

Now multiply straight across the bottom.

7x4= 28

28 is the denominator.

10/28 is the answer to this problem, however it can be simplified. Both 10 and 28 are divisible by 2. This simplifies to 5/14.

For mixed numbers, you first have to make them improper fractions.

Ex: 2 2/3

Take the denominator (3) multiply it by the whole number (2) and add the numerator (2)

3x2=6 (now add the remaining 2 from the numerator) 6+2= 8. 8 is your new numerator and you will keep the existing denominator of 3 making the improper fraction 8/3.

User Zyberzero
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