What is 5/3 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 5/3 of 63? We'll show you a straightforward method to achieve that.

How to calculate 5/3 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: 315/3 = 105
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 315/3 = 105
    • 3/3 = 1
  4. Which gives: 105/1

How does it work?

The principle behind finding a fraction of a number, such as 5/3 of 63, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 3 = x 63 (where x represents 5/3 of 63)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 63 = 3 x
  2. Which gives: 315 = 3 x
  3. Divide both sides by 3 to isolate x: 315 3 = 3 x 3
  4. Which gives the result: 315 3 = x (or 105 1 = x )

Thus, 5/3 of 63 is equal to 105/1 (or 105 in its decimal form).