What is 10/8 of 50?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/8 of 50? We'll show you a straightforward method to achieve that.

How to calculate 10/8 of 50?

  1. Multiply the whole number by the numerator of the fraction: 50 × 10 = 500
  2. Divide this result by denominator of the fraction: 500/8 = 62.5
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 500/4 = 125
    • 8/4 = 2
  4. Which gives: 125/2

Since 125/2 is an improper fraction, the result could also be expressed as a mixed number: 62 1/2

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 50, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 8 = x 50 (where x represents 10/8 of 50)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 50 = 8 x
  2. Which gives: 500 = 8 x
  3. Divide both sides by 8 to isolate x: 500 8 = 8 x 8
  4. Which gives the result: 500 8 = x (or 125 2 = x )

Thus, 10/8 of 50 is equal to 125/2 (or 62.5 in its decimal form).