What is 8/5 of 85?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/5 of 85? We'll show you a straightforward method to achieve that.

How to calculate 8/5 of 85?

  1. Multiply the whole number by the numerator of the fraction: 85 × 8 = 680
  2. Divide this result by denominator of the fraction: 680/5 = 136
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 680/5 = 136
    • 5/5 = 1
  4. Which gives: 136/1

How does it work?

The principle behind finding a fraction of a number, such as 8/5 of 85, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 5 = x 85 (where x represents 8/5 of 85)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 85 = 5 x
  2. Which gives: 680 = 5 x
  3. Divide both sides by 5 to isolate x: 680 5 = 5 x 5
  4. Which gives the result: 680 5 = x (or 136 1 = x )

Thus, 8/5 of 85 is equal to 136/1 (or 136 in its decimal form).