What is 4/3 of 83?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/3 of 83? We'll show you a straightforward method to achieve that.

How to calculate 4/3 of 83?

  1. Multiply the whole number by the numerator of the fraction: 83 × 4 = 332
  2. Divide this result by denominator of the fraction: 332/3 = 110.66666666667

Since 332/3 is an improper fraction, the result could also be expressed as a mixed number: 110 2/3

How does it work?

The principle behind finding a fraction of a number, such as 4/3 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 3 = x 83 (where x represents 4/3 of 83)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 83 = 3 x
  2. Which gives: 332 = 3 x
  3. Divide both sides by 3 to isolate x: 332 3 = 3 x 3
  4. Which gives the result: 332 3 = x

Thus, 4/3 of 83 is equal to 332/3 (or 110.66666666667 in its decimal form).