What is 7/5 of 84?

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 84? We'll show you a straightforward method to achieve that.

How to calculate 7/5 of 84?

  1. Multiply the whole number by the numerator of the fraction: 84 × 7 = 588
  2. Divide this result by denominator of the fraction: 588/5 = 117.6

Since 588/5 is an improper fraction, the result could also be expressed as a mixed number: 117 3/5

How does it work?

The principle behind finding a fraction of a number, such as 7/5 of 84, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 5 = x 84 (where x represents 7/5 of 84)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 84 = 5 x
  2. Which gives: 588 = 5 x
  3. Divide both sides by 5 to isolate x: 588 5 = 5 x 5
  4. Which gives the result: 588 5 = x

Thus, 7/5 of 84 is equal to 588/5 (or 117.6 in its decimal form).