What is 5/4 of 63?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/4 of 63? We'll show you a straightforward method to achieve that.

How to calculate 5/4 of 63?

  1. Multiply the whole number by the numerator of the fraction: 63 × 5 = 315
  2. Divide this result by denominator of the fraction: 315/4 = 78.75

Since 315/4 is an improper fraction, the result could also be expressed as a mixed number: 78 3/4

How does it work?

The principle behind finding a fraction of a number, such as 5/4 of 63, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 4 = x 63 (where x represents 5/4 of 63)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 63 = 4 x
  2. Which gives: 315 = 4 x
  3. Divide both sides by 4 to isolate x: 315 4 = 4 x 4
  4. Which gives the result: 315 4 = x

Thus, 5/4 of 63 is equal to 315/4 (or 78.75 in its decimal form).