What is 6/7 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 6/7 of 47? We'll show you a straightforward method to achieve that.

How to calculate 6/7 of 47?

  1. Multiply the whole number by the numerator of the fraction: 47 × 6 = 282
  2. Divide this result by denominator of the fraction: 282/7 = 40.285714285714

Since 282/7 is an improper fraction, the result could also be expressed as a mixed number: 40 2/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 7 = x 47 (where x represents 6/7 of 47)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 47 = 7 x
  2. Which gives: 282 = 7 x
  3. Divide both sides by 7 to isolate x: 282 7 = 7 x 7
  4. Which gives the result: 282 7 = x

Thus, 6/7 of 47 is equal to 282/7 (or 40.285714285714 in its decimal form).