What is 6/5 of 6?

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

How to calculate 6/5 of 6?

  1. Multiply the whole number by the numerator of the fraction: 6 × 6 = 36
  2. Divide this result by denominator of the fraction: 36/5 = 7.2

Since 36/5 is an improper fraction, the result could also be expressed as a mixed number: 7 1/5

How does it work?

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

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

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 6 = 5 x
  2. Which gives: 36 = 5 x
  3. Divide both sides by 5 to isolate x: 36 5 = 5 x 5
  4. Which gives the result: 36 5 = x

Thus, 6/5 of 6 is equal to 36/5 (or 7.2 in its decimal form).