What is 10/8 of 23?

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

How to calculate 10/8 of 23?

  1. Multiply the whole number by the numerator of the fraction: 23 × 10 = 230
  2. Divide this result by denominator of the fraction: 230/8 = 28.75
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 230/2 = 115
    • 8/2 = 4
  4. Which gives: 115/4

Since 115/4 is an improper fraction, the result could also be expressed as a mixed number: 28 3/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 23, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 8 = x 23 (where x represents 10/8 of 23)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 23 = 8 x
  2. Which gives: 230 = 8 x
  3. Divide both sides by 8 to isolate x: 230 8 = 8 x 8
  4. Which gives the result: 230 8 = x (or 115 4 = x )

Thus, 10/8 of 23 is equal to 115/4 (or 28.75 in its decimal form).