What is 5/4 of 68?

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

How to calculate 5/4 of 68?

  1. Multiply the whole number by the numerator of the fraction: 68 × 5 = 340
  2. Divide this result by denominator of the fraction: 340/4 = 85
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 340/4 = 85
    • 4/4 = 1
  4. Which gives: 85/1

How does it work?

The principle behind finding a fraction of a number, such as 5/4 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 4 = x 68 (where x represents 5/4 of 68)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 68 = 4 x
  2. Which gives: 340 = 4 x
  3. Divide both sides by 4 to isolate x: 340 4 = 4 x 4
  4. Which gives the result: 340 4 = x (or 85 1 = x )

Thus, 5/4 of 68 is equal to 85/1 (or 85 in its decimal form).