What is 1/9 of 70?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/9 of 70? We'll show you a straightforward method to achieve that.

How to calculate 1/9 of 70?

  1. Multiply the whole number by the numerator of the fraction: 70 × 1 = 70
  2. Divide this result by denominator of the fraction: 70/9 = 7.7777777777778

Since 70/9 is an improper fraction, the result could also be expressed as a mixed number: 7 7/9

How does it work?

The principle behind finding a fraction of a number, such as 1/9 of 70, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 9 = x 70 (where x represents 1/9 of 70)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 70 = 9 x
  2. Which gives: 70 = 9 x
  3. Divide both sides by 9 to isolate x: 70 9 = 9 x 9
  4. Which gives the result: 70 9 = x

Thus, 1/9 of 70 is equal to 70/9 (or 7.7777777777778 in its decimal form).