What is 7/3 of 68?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/3 of 68? We'll show you a straightforward method to achieve that.

How to calculate 7/3 of 68?

  1. Multiply the whole number by the numerator of the fraction: 68 × 7 = 476
  2. Divide this result by denominator of the fraction: 476/3 = 158.66666666667

Since 476/3 is an improper fraction, the result could also be expressed as a mixed number: 158 2/3

How does it work?

The principle behind finding a fraction of a number, such as 7/3 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 3 = x 68 (where x represents 7/3 of 68)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 68 = 3 x
  2. Which gives: 476 = 3 x
  3. Divide both sides by 3 to isolate x: 476 3 = 3 x 3
  4. Which gives the result: 476 3 = x

Thus, 7/3 of 68 is equal to 476/3 (or 158.66666666667 in its decimal form).