What is 5/7 of 14?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/7 of 14? We'll show you a straightforward method to achieve that.

How to calculate 5/7 of 14?

  1. Multiply the whole number by the numerator of the fraction: 14 × 5 = 70
  2. Divide this result by denominator of the fraction: 70/7 = 10
  3. Simplify by dividing both the numerator and denominator by their GCD (7):
    • 70/7 = 10
    • 7/7 = 1
  4. Which gives: 10/1

How does it work?

The principle behind finding a fraction of a number, such as 5/7 of 14, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 7 = x 14 (where x represents 5/7 of 14)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 14 = 7 x
  2. Which gives: 70 = 7 x
  3. Divide both sides by 7 to isolate x: 70 7 = 7 x 7
  4. Which gives the result: 70 7 = x (or 10 1 = x )

Thus, 5/7 of 14 is equal to 10/1 (or 10 in its decimal form).