What is 8/4 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 8/4 of 16? We'll show you a straightforward method to achieve that.

How to calculate 8/4 of 16?

  1. Multiply the whole number by the numerator of the fraction: 16 × 8 = 128
  2. Divide this result by denominator of the fraction: 128/4 = 32
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 128/4 = 32
    • 4/4 = 1
  4. Which gives: 32/1

How does it work?

The principle behind finding a fraction of a number, such as 8/4 of 16, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 4 = x 16 (where x represents 8/4 of 16)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 16 = 4 x
  2. Which gives: 128 = 4 x
  3. Divide both sides by 4 to isolate x: 128 4 = 4 x 4
  4. Which gives the result: 128 4 = x (or 32 1 = x )

Thus, 8/4 of 16 is equal to 32/1 (or 32 in its decimal form).