What is 2/4 of 32?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/4 of 32? We'll show you a straightforward method to achieve that.

How to calculate 2/4 of 32?

  1. Multiply the whole number by the numerator of the fraction: 32 × 2 = 64
  2. Divide this result by denominator of the fraction: 64/4 = 16
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 64/4 = 16
    • 4/4 = 1
  4. Which gives: 16/1

How does it work?

The principle behind finding a fraction of a number, such as 2/4 of 32, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 4 = x 32 (where x represents 2/4 of 32)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 32 = 4 x
  2. Which gives: 64 = 4 x
  3. Divide both sides by 4 to isolate x: 64 4 = 4 x 4
  4. Which gives the result: 64 4 = x (or 16 1 = x )

Thus, 2/4 of 32 is equal to 16/1 (or 16 in its decimal form).