What is 10/9 of 60?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/9 of 60? We'll show you a straightforward method to achieve that.

How to calculate 10/9 of 60?

  1. Multiply the whole number by the numerator of the fraction: 60 × 10 = 600
  2. Divide this result by denominator of the fraction: 600/9 = 66.666666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 600/3 = 200
    • 9/3 = 3
  4. Which gives: 200/3

Since 200/3 is an improper fraction, the result could also be expressed as a mixed number: 66 2/3

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 60, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 60 (where x represents 10/9 of 60)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 60 = 9 x
  2. Which gives: 600 = 9 x
  3. Divide both sides by 9 to isolate x: 600 9 = 9 x 9
  4. Which gives the result: 600 9 = x (or 200 3 = x )

Thus, 10/9 of 60 is equal to 200/3 (or 66.666666666667 in its decimal form).