What is 10/9 of 57?

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 57? We'll show you a straightforward method to achieve that.

How to calculate 10/9 of 57?

  1. Multiply the whole number by the numerator of the fraction: 57 × 10 = 570
  2. Divide this result by denominator of the fraction: 570/9 = 63.333333333333
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 570/3 = 190
    • 9/3 = 3
  4. Which gives: 190/3

Since 190/3 is an improper fraction, the result could also be expressed as a mixed number: 63 1/3

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 57, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 57 (where x represents 10/9 of 57)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 57 = 9 x
  2. Which gives: 570 = 9 x
  3. Divide both sides by 9 to isolate x: 570 9 = 9 x 9
  4. Which gives the result: 570 9 = x (or 190 3 = x )

Thus, 10/9 of 57 is equal to 190/3 (or 63.333333333333 in its decimal form).