What is 3/4 of 10?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/4 of 10? We'll show you a straightforward method to achieve that.

How to calculate 3/4 of 10?

  1. Multiply the whole number by the numerator of the fraction: 10 × 3 = 30
  2. Divide this result by denominator of the fraction: 30/4 = 7.5
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 30/2 = 15
    • 4/2 = 2
  4. Which gives: 15/2

Since 15/2 is an improper fraction, the result could also be expressed as a mixed number: 7 1/2

How does it work?

The principle behind finding a fraction of a number, such as 3/4 of 10, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 4 = x 10 (where x represents 3/4 of 10)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 10 = 4 x
  2. Which gives: 30 = 4 x
  3. Divide both sides by 4 to isolate x: 30 4 = 4 x 4
  4. Which gives the result: 30 4 = x (or 15 2 = x )

Thus, 3/4 of 10 is equal to 15/2 (or 7.5 in its decimal form).