Place in order the following fractions from smallest to largest: 15/16, 3/8, 7/32, 27/64, 21/32, 1/4.

Question

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Answer 1

Notice that all the denominators are factors of 64.

Multiply each fraction by 64, which means dividing the denominator into 64:

60, 24, 14, 27, 42, 16.

Now it’s easy to put them in order: 14, 16, 24, 27, 42, 60.

Now divide by 64 or refer to the original list:

7/32, 1/4, 3/8, 27/64, 21/32, 15/16.