What is 9/8 of 88?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/8 of 88? We'll show you a straightforward method to achieve that.

How to calculate 9/8 of 88?

  1. Multiply the whole number by the numerator of the fraction: 88 × 9 = 792
  2. Divide this result by denominator of the fraction: 792/8 = 99
  3. Simplify by dividing both the numerator and denominator by their GCD (8):
    • 792/8 = 99
    • 8/8 = 1
  4. Which gives: 99/1

How does it work?

The principle behind finding a fraction of a number, such as 9/8 of 88, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 8 = x 88 (where x represents 9/8 of 88)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 88 = 8 x
  2. Which gives: 792 = 8 x
  3. Divide both sides by 8 to isolate x: 792 8 = 8 x 8
  4. Which gives the result: 792 8 = x (or 99 1 = x )

Thus, 9/8 of 88 is equal to 99/1 (or 99 in its decimal form).