What is 5/6 of 55?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/6 of 55? We'll show you a straightforward method to achieve that.

How to calculate 5/6 of 55?

  1. Multiply the whole number by the numerator of the fraction: 55 × 5 = 275
  2. Divide this result by denominator of the fraction: 275/6 = 45.833333333333

Since 275/6 is an improper fraction, the result could also be expressed as a mixed number: 45 5/6

How does it work?

The principle behind finding a fraction of a number, such as 5/6 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 6 = x 55 (where x represents 5/6 of 55)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 55 = 6 x
  2. Which gives: 275 = 6 x
  3. Divide both sides by 6 to isolate x: 275 6 = 6 x 6
  4. Which gives the result: 275 6 = x

Thus, 5/6 of 55 is equal to 275/6 (or 45.833333333333 in its decimal form).