What is 5/10 of 74?

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

How to calculate 5/10 of 74?

  1. Multiply the whole number by the numerator of the fraction: 74 × 5 = 370
  2. Divide this result by denominator of the fraction: 370/10 = 37
  3. Simplify by dividing both the numerator and denominator by their GCD (10):
    • 370/10 = 37
    • 10/10 = 1
  4. Which gives: 37/1

How does it work?

The principle behind finding a fraction of a number, such as 5/10 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 10 = x 74 (where x represents 5/10 of 74)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 74 = 10 x
  2. Which gives: 370 = 10 x
  3. Divide both sides by 10 to isolate x: 370 10 = 10 x 10
  4. Which gives the result: 370 10 = x (or 37 1 = x )

Thus, 5/10 of 74 is equal to 37/1 (or 37 in its decimal form).