What is 9/10 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 9/10 of 69? We'll show you a straightforward method to achieve that.

How to calculate 9/10 of 69?

  1. Multiply the whole number by the numerator of the fraction: 69 × 9 = 621
  2. Divide this result by denominator of the fraction: 621/10 = 62.1

Since 621/10 is an improper fraction, the result could also be expressed as a mixed number: 62 1/10

How does it work?

The principle behind finding a fraction of a number, such as 9/10 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 10 = x 69 (where x represents 9/10 of 69)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 69 = 10 x
  2. Which gives: 621 = 10 x
  3. Divide both sides by 10 to isolate x: 621 10 = 10 x 10
  4. Which gives the result: 621 10 = x

Thus, 9/10 of 69 is equal to 621/10 (or 62.1 in its decimal form).