What is 5/10 of 26?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/10 of 26? We'll show you a straightforward method to achieve that.

How to calculate 5/10 of 26?

  1. Multiply the whole number by the numerator of the fraction: 26 × 5 = 130
  2. Divide this result by denominator of the fraction: 130/10 = 13
  3. Simplify by dividing both the numerator and denominator by their GCD (10):
    • 130/10 = 13
    • 10/10 = 1
  4. Which gives: 13/1

How does it work?

The principle behind finding a fraction of a number, such as 5/10 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 10 = x 26 (where x represents 5/10 of 26)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 26 = 10 x
  2. Which gives: 130 = 10 x
  3. Divide both sides by 10 to isolate x: 130 10 = 10 x 10
  4. Which gives the result: 130 10 = x (or 13 1 = x )

Thus, 5/10 of 26 is equal to 13/1 (or 13 in its decimal form).