What is 5/10 of 89?

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

How to calculate 5/10 of 89?

  1. Multiply the whole number by the numerator of the fraction: 89 × 5 = 445
  2. Divide this result by denominator of the fraction: 445/10 = 44.5
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 445/5 = 89
    • 10/5 = 2
  4. Which gives: 89/2

Since 89/2 is an improper fraction, the result could also be expressed as a mixed number: 44 1/2

How does it work?

The principle behind finding a fraction of a number, such as 5/10 of 89, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 10 = x 89 (where x represents 5/10 of 89)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 89 = 10 x
  2. Which gives: 445 = 10 x
  3. Divide both sides by 10 to isolate x: 445 10 = 10 x 10
  4. Which gives the result: 445 10 = x (or 89 2 = x )

Thus, 5/10 of 89 is equal to 89/2 (or 44.5 in its decimal form).