What is 2/7 of 76?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/7 of 76? We'll show you a straightforward method to achieve that.

How to calculate 2/7 of 76?

  1. Multiply the whole number by the numerator of the fraction: 76 × 2 = 152
  2. Divide this result by denominator of the fraction: 152/7 = 21.714285714286

Since 152/7 is an improper fraction, the result could also be expressed as a mixed number: 21 5/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 7 = x 76 (where x represents 2/7 of 76)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 76 = 7 x
  2. Which gives: 152 = 7 x
  3. Divide both sides by 7 to isolate x: 152 7 = 7 x 7
  4. Which gives the result: 152 7 = x

Thus, 2/7 of 76 is equal to 152/7 (or 21.714285714286 in its decimal form).