What is 9/10 of 82?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/10 of 82? We'll show you a straightforward method to achieve that.

How to calculate 9/10 of 82?

  1. Multiply the whole number by the numerator of the fraction: 82 × 9 = 738
  2. Divide this result by denominator of the fraction: 738/10 = 73.8
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 738/2 = 369
    • 10/2 = 5
  4. Which gives: 369/5

Since 369/5 is an improper fraction, the result could also be expressed as a mixed number: 73 4/5

How does it work?

The principle behind finding a fraction of a number, such as 9/10 of 82, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 10 = x 82 (where x represents 9/10 of 82)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 82 = 10 x
  2. Which gives: 738 = 10 x
  3. Divide both sides by 10 to isolate x: 738 10 = 10 x 10
  4. Which gives the result: 738 10 = x (or 369 5 = x )

Thus, 9/10 of 82 is equal to 369/5 (or 73.8 in its decimal form).