If 3/5 of a number is 21, what is the number?

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Multiple Choice

If 3/5 of a number is 21, what is the number?

Explanation:
When a fraction of a number is known, you find the whole by multiplying by the reciprocal of that fraction. Here, three-fifths of the number equals 21. Multiply 21 by the reciprocal of 3/5, which is 5/3, to recover the whole: 21 × (5/3) = (21/3) × 5 = 7 × 5 = 35. Checking the result: (3/5) × 35 = 21. The value of the number is 35.

When a fraction of a number is known, you find the whole by multiplying by the reciprocal of that fraction. Here, three-fifths of the number equals 21. Multiply 21 by the reciprocal of 3/5, which is 5/3, to recover the whole: 21 × (5/3) = (21/3) × 5 = 7 × 5 = 35. Checking the result: (3/5) × 35 = 21. The value of the number is 35.

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