What is 10/8 of 40?

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

How to calculate 10/8 of 40?

  1. Multiply the whole number by the numerator of the fraction: 40 × 10 = 400
  2. Divide this result by denominator of the fraction: 400/8 = 50
  3. Simplify by dividing both the numerator and denominator by their GCD (8):
    • 400/8 = 50
    • 8/8 = 1
  4. Which gives: 50/1

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 40, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 8 = x 40 (where x represents 10/8 of 40)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 40 = 8 x
  2. Which gives: 400 = 8 x
  3. Divide both sides by 8 to isolate x: 400 8 = 8 x 8
  4. Which gives the result: 400 8 = x (or 50 1 = x )

Thus, 10/8 of 40 is equal to 50/1 (or 50 in its decimal form).