What is 7/9 of 97?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/9 of 97? We'll show you a straightforward method to achieve that.

How to calculate 7/9 of 97?

  1. Multiply the whole number by the numerator of the fraction: 97 × 7 = 679
  2. Divide this result by denominator of the fraction: 679/9 = 75.444444444444

Since 679/9 is an improper fraction, the result could also be expressed as a mixed number: 75 4/9

How does it work?

The principle behind finding a fraction of a number, such as 7/9 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 9 = x 97 (where x represents 7/9 of 97)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 97 = 9 x
  2. Which gives: 679 = 9 x
  3. Divide both sides by 9 to isolate x: 679 9 = 9 x 9
  4. Which gives the result: 679 9 = x

Thus, 7/9 of 97 is equal to 679/9 (or 75.444444444444 in its decimal form).