Comparing fractions (age 9+)

Question 1

Emma cut her chocolate bar into 3 equal pieces and ate 2 of them. Liam cut his chocolate bar into 8 equal pieces and ate 5 of them. Which child ate the larger part? (Use a common denominator of 24 to compare.)

Accepted Answer

Emma ate more because 2/3 = 16/24 and 5/8 = 15/24.

Answer

Liam ate more because 2/3 = 14/24 and 5/8 = 15/24.

Answer

They ate the same amount because 2/3 = 16/24 and 5/8 = 16/24.

Answer

They ate the same amount because 2/3 = 12/24 and 5/8 = 12/24.

Question 2

Which fraction is larger, 3/8 or 5/12? Use a common denominator of 24 to compare.

Accepted Answer

5/12 is larger

Answer

It cannot be determined without a calculator

Answer

3/8 is larger

Answer

They are the same size

Question 3

Which fraction is larger when you compare them using 1/2 as a benchmark?

Accepted Answer

5/8 is larger than 3/7

Answer

You must find a common denominator before deciding

Answer

3/7 is larger than 5/8

Answer

5/8 and 3/7 are the same size

Try three questions

Emma cut her chocolate bar into 3 equal pieces and ate 2 of them. Liam cut his chocolate bar into 8 equal pieces and ate 5 of them. Which child ate the larger part? (Use a common denominator of 24 to compare.)

Which fraction is larger, 3/8 or 5/12? Use a common denominator of 24 to compare.

Which fraction is larger when you compare them using 1/2 as a benchmark?

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