What is 8/5 of 7?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/5 of 7? We'll show you a straightforward method to achieve that.

How to calculate 8/5 of 7?

  1. Multiply the whole number by the numerator of the fraction: 7 × 8 = 56
  2. Divide this result by denominator of the fraction: 56/5 = 11.2

Since 56/5 is an improper fraction, the result could also be expressed as a mixed number: 11 1/5

How does it work?

The principle behind finding a fraction of a number, such as 8/5 of 7, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 5 = x 7 (where x represents 8/5 of 7)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 7 = 5 x
  2. Which gives: 56 = 5 x
  3. Divide both sides by 5 to isolate x: 56 5 = 5 x 5
  4. Which gives the result: 56 5 = x

Thus, 8/5 of 7 is equal to 56/5 (or 11.2 in its decimal form).