What is 2/4 of 52?

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

How to calculate 2/4 of 52?

  1. Multiply the whole number by the numerator of the fraction: 52 × 2 = 104
  2. Divide this result by denominator of the fraction: 104/4 = 26
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 104/4 = 26
    • 4/4 = 1
  4. Which gives: 26/1

How does it work?

The principle behind finding a fraction of a number, such as 2/4 of 52, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 4 = x 52 (where x represents 2/4 of 52)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 52 = 4 x
  2. Which gives: 104 = 4 x
  3. Divide both sides by 4 to isolate x: 104 4 = 4 x 4
  4. Which gives the result: 104 4 = x (or 26 1 = x )

Thus, 2/4 of 52 is equal to 26/1 (or 26 in its decimal form).