What is 4/5 of 66?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/5 of 66? We'll show you a straightforward method to achieve that.

How to calculate 4/5 of 66?

  1. Multiply the whole number by the numerator of the fraction: 66 × 4 = 264
  2. Divide this result by denominator of the fraction: 264/5 = 52.8

Since 264/5 is an improper fraction, the result could also be expressed as a mixed number: 52 4/5

How does it work?

The principle behind finding a fraction of a number, such as 4/5 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 5 = x 66 (where x represents 4/5 of 66)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 66 = 5 x
  2. Which gives: 264 = 5 x
  3. Divide both sides by 5 to isolate x: 264 5 = 5 x 5
  4. Which gives the result: 264 5 = x

Thus, 4/5 of 66 is equal to 264/5 (or 52.8 in its decimal form).