What is 2/3 of 47?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/3 of 47? We'll show you a straightforward method to achieve that.

How to calculate 2/3 of 47?

  1. Multiply the whole number by the numerator of the fraction: 47 × 2 = 94
  2. Divide this result by denominator of the fraction: 94/3 = 31.333333333333

Since 94/3 is an improper fraction, the result could also be expressed as a mixed number: 31 1/3

How does it work?

The principle behind finding a fraction of a number, such as 2/3 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 3 = x 47 (where x represents 2/3 of 47)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 47 = 3 x
  2. Which gives: 94 = 3 x
  3. Divide both sides by 3 to isolate x: 94 3 = 3 x 3
  4. Which gives the result: 94 3 = x

Thus, 2/3 of 47 is equal to 94/3 (or 31.333333333333 in its decimal form).