What is 8/9 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 8/9 of 48? We'll show you a straightforward method to achieve that.

How to calculate 8/9 of 48?

  1. Multiply the whole number by the numerator of the fraction: 48 × 8 = 384
  2. Divide this result by denominator of the fraction: 384/9 = 42.666666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 384/3 = 128
    • 9/3 = 3
  4. Which gives: 128/3

Since 128/3 is an improper fraction, the result could also be expressed as a mixed number: 42 2/3

How does it work?

The principle behind finding a fraction of a number, such as 8/9 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 9 = x 48 (where x represents 8/9 of 48)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 48 = 9 x
  2. Which gives: 384 = 9 x
  3. Divide both sides by 9 to isolate x: 384 9 = 9 x 9
  4. Which gives the result: 384 9 = x (or 128 3 = x )

Thus, 8/9 of 48 is equal to 128/3 (or 42.666666666667 in its decimal form).