What is 7/5 of 56?

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

How to calculate 7/5 of 56?

  1. Multiply the whole number by the numerator of the fraction: 56 × 7 = 392
  2. Divide this result by denominator of the fraction: 392/5 = 78.4

Since 392/5 is an improper fraction, the result could also be expressed as a mixed number: 78 2/5

How does it work?

The principle behind finding a fraction of a number, such as 7/5 of 56, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 5 = x 56 (where x represents 7/5 of 56)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 56 = 5 x
  2. Which gives: 392 = 5 x
  3. Divide both sides by 5 to isolate x: 392 5 = 5 x 5
  4. Which gives the result: 392 5 = x

Thus, 7/5 of 56 is equal to 392/5 (or 78.4 in its decimal form).