What is 10/3 of 69?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/3 of 69? We'll show you a straightforward method to achieve that.

How to calculate 10/3 of 69?

  1. Multiply the whole number by the numerator of the fraction: 69 × 10 = 690
  2. Divide this result by denominator of the fraction: 690/3 = 230
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 690/3 = 230
    • 3/3 = 1
  4. Which gives: 230/1

How does it work?

The principle behind finding a fraction of a number, such as 10/3 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 3 = x 69 (where x represents 10/3 of 69)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 69 = 3 x
  2. Which gives: 690 = 3 x
  3. Divide both sides by 3 to isolate x: 690 3 = 3 x 3
  4. Which gives the result: 690 3 = x (or 230 1 = x )

Thus, 10/3 of 69 is equal to 230/1 (or 230 in its decimal form).