7th Grade Math Practice Test

Which is larger, 2/3 or 3/5?

3/5 1 2/3 5/6

Correct Answer:

2/3

Explanation:

When comparing fractions with different denominators, make the two fractions easier to compare by either cross-multiplying or using a common denominator. Cross-multiplying gives 2/3 and 3/5: 2×5 = 10 and 3×3 = 9. Since 10 is bigger than 9, the first fraction is larger. You can also rewrite with a common denominator: 2/3 = 10/15 and 3/5 = 9/15, so 10/15 is bigger than 9/15. This matches the decimal idea that 2/3 is about 0.666… while 3/5 is 0.6, so 2/3 is the larger value.

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