What is 8/10 of 19?

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

How to calculate 8/10 of 19?

  1. Multiply the whole number by the numerator of the fraction: 19 × 8 = 152
  2. Divide this result by denominator of the fraction: 152/10 = 15.2
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 152/2 = 76
    • 10/2 = 5
  4. Which gives: 76/5

Since 76/5 is an improper fraction, the result could also be expressed as a mixed number: 15 1/5

How does it work?

The principle behind finding a fraction of a number, such as 8/10 of 19, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 10 = x 19 (where x represents 8/10 of 19)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 19 = 10 x
  2. Which gives: 152 = 10 x
  3. Divide both sides by 10 to isolate x: 152 10 = 10 x 10
  4. Which gives the result: 152 10 = x (or 76 5 = x )

Thus, 8/10 of 19 is equal to 76/5 (or 15.2 in its decimal form).