What is 7/3 of 62?

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 62? We'll show you a straightforward method to achieve that.

How to calculate 7/3 of 62?

  1. Multiply the whole number by the numerator of the fraction: 62 × 7 = 434
  2. Divide this result by denominator of the fraction: 434/3 = 144.66666666667

Since 434/3 is an improper fraction, the result could also be expressed as a mixed number: 144 2/3

How does it work?

The principle behind finding a fraction of a number, such as 7/3 of 62, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 3 = x 62 (where x represents 7/3 of 62)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 62 = 3 x
  2. Which gives: 434 = 3 x
  3. Divide both sides by 3 to isolate x: 434 3 = 3 x 3
  4. Which gives the result: 434 3 = x

Thus, 7/3 of 62 is equal to 434/3 (or 144.66666666667 in its decimal form).