What is 9/8 of 16?

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 16? We'll show you a straightforward method to achieve that.

How to calculate 9/8 of 16?

  1. Multiply the whole number by the numerator of the fraction: 16 × 9 = 144
  2. Divide this result by denominator of the fraction: 144/8 = 18
  3. Simplify by dividing both the numerator and denominator by their GCD (8):
    • 144/8 = 18
    • 8/8 = 1
  4. Which gives: 18/1

How does it work?

The principle behind finding a fraction of a number, such as 9/8 of 16, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 8 = x 16 (where x represents 9/8 of 16)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 16 = 8 x
  2. Which gives: 144 = 8 x
  3. Divide both sides by 8 to isolate x: 144 8 = 8 x 8
  4. Which gives the result: 144 8 = x (or 18 1 = x )

Thus, 9/8 of 16 is equal to 18/1 (or 18 in its decimal form).