What is 9/7 of 48?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/7 of 48? We'll show you a straightforward method to achieve that.

How to calculate 9/7 of 48?

  1. Multiply the whole number by the numerator of the fraction: 48 × 9 = 432
  2. Divide this result by denominator of the fraction: 432/7 = 61.714285714286

Since 432/7 is an improper fraction, the result could also be expressed as a mixed number: 61 5/7

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 7 = x 48 (where x represents 9/7 of 48)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 48 = 7 x
  2. Which gives: 432 = 7 x
  3. Divide both sides by 7 to isolate x: 432 7 = 7 x 7
  4. Which gives the result: 432 7 = x

Thus, 9/7 of 48 is equal to 432/7 (or 61.714285714286 in its decimal form).