What is 7/8 of 83?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/8 of 83? We'll show you a straightforward method to achieve that.

How to calculate 7/8 of 83?

  1. Multiply the whole number by the numerator of the fraction: 83 × 7 = 581
  2. Divide this result by denominator of the fraction: 581/8 = 72.625

Since 581/8 is an improper fraction, the result could also be expressed as a mixed number: 72 5/8

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 8 = x 83 (where x represents 7/8 of 83)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 83 = 8 x
  2. Which gives: 581 = 8 x
  3. Divide both sides by 8 to isolate x: 581 8 = 8 x 8
  4. Which gives the result: 581 8 = x

Thus, 7/8 of 83 is equal to 581/8 (or 72.625 in its decimal form).