What is 8/10 of 30?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/10 of 30? We'll show you a straightforward method to achieve that.

How to calculate 8/10 of 30?

  1. Multiply the whole number by the numerator of the fraction: 30 × 8 = 240
  2. Divide this result by denominator of the fraction: 240/10 = 24
  3. Simplify by dividing both the numerator and denominator by their GCD (10):
    • 240/10 = 24
    • 10/10 = 1
  4. Which gives: 24/1

How does it work?

The principle behind finding a fraction of a number, such as 8/10 of 30, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 10 = x 30 (where x represents 8/10 of 30)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 30 = 10 x
  2. Which gives: 240 = 10 x
  3. Divide both sides by 10 to isolate x: 240 10 = 10 x 10
  4. Which gives the result: 240 10 = x (or 24 1 = x )

Thus, 8/10 of 30 is equal to 24/1 (or 24 in its decimal form).