What is 7/3 of 31?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/3 of 31? We'll show you a straightforward method to achieve that.

How to calculate 7/3 of 31?

  1. Multiply the whole number by the numerator of the fraction: 31 × 7 = 217
  2. Divide this result by denominator of the fraction: 217/3 = 72.333333333333

Since 217/3 is an improper fraction, the result could also be expressed as a mixed number: 72 1/3

How does it work?

The principle behind finding a fraction of a number, such as 7/3 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 3 = x 31 (where x represents 7/3 of 31)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 31 = 3 x
  2. Which gives: 217 = 3 x
  3. Divide both sides by 3 to isolate x: 217 3 = 3 x 3
  4. Which gives the result: 217 3 = x

Thus, 7/3 of 31 is equal to 217/3 (or 72.333333333333 in its decimal form).