What is 10/4 of 54?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/4 of 54? We'll show you a straightforward method to achieve that.

How to calculate 10/4 of 54?

  1. Multiply the whole number by the numerator of the fraction: 54 × 10 = 540
  2. Divide this result by denominator of the fraction: 540/4 = 135
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 540/4 = 135
    • 4/4 = 1
  4. Which gives: 135/1

How does it work?

The principle behind finding a fraction of a number, such as 10/4 of 54, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 4 = x 54 (where x represents 10/4 of 54)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 54 = 4 x
  2. Which gives: 540 = 4 x
  3. Divide both sides by 4 to isolate x: 540 4 = 4 x 4
  4. Which gives the result: 540 4 = x (or 135 1 = x )

Thus, 10/4 of 54 is equal to 135/1 (or 135 in its decimal form).