What is 7/8 of 67?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/8 of 67? We'll show you a straightforward method to achieve that.

How to calculate 7/8 of 67?

  1. Multiply the whole number by the numerator of the fraction: 67 × 7 = 469
  2. Divide this result by denominator of the fraction: 469/8 = 58.625

Since 469/8 is an improper fraction, the result could also be expressed as a mixed number: 58 5/8

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 8 = x 67 (where x represents 7/8 of 67)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 67 = 8 x
  2. Which gives: 469 = 8 x
  3. Divide both sides by 8 to isolate x: 469 8 = 8 x 8
  4. Which gives the result: 469 8 = x

Thus, 7/8 of 67 is equal to 469/8 (or 58.625 in its decimal form).