What is 8/3 of 75?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/3 of 75? We'll show you a straightforward method to achieve that.

How to calculate 8/3 of 75?

  1. Multiply the whole number by the numerator of the fraction: 75 × 8 = 600
  2. Divide this result by denominator of the fraction: 600/3 = 200
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 600/3 = 200
    • 3/3 = 1
  4. Which gives: 200/1

How does it work?

The principle behind finding a fraction of a number, such as 8/3 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 3 = x 75 (where x represents 8/3 of 75)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 75 = 3 x
  2. Which gives: 600 = 3 x
  3. Divide both sides by 3 to isolate x: 600 3 = 3 x 3
  4. Which gives the result: 600 3 = x (or 200 1 = x )

Thus, 8/3 of 75 is equal to 200/1 (or 200 in its decimal form).