What is 7/5 of 82?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/5 of 82? We'll show you a straightforward method to achieve that.

How to calculate 7/5 of 82?

  1. Multiply the whole number by the numerator of the fraction: 82 × 7 = 574
  2. Divide this result by denominator of the fraction: 574/5 = 114.8

Since 574/5 is an improper fraction, the result could also be expressed as a mixed number: 114 4/5

How does it work?

The principle behind finding a fraction of a number, such as 7/5 of 82, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 5 = x 82 (where x represents 7/5 of 82)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 82 = 5 x
  2. Which gives: 574 = 5 x
  3. Divide both sides by 5 to isolate x: 574 5 = 5 x 5
  4. Which gives the result: 574 5 = x

Thus, 7/5 of 82 is equal to 574/5 (or 114.8 in its decimal form).