What is 9/8 of 98?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/8 of 98? We'll show you a straightforward method to achieve that.

How to calculate 9/8 of 98?

  1. Multiply the whole number by the numerator of the fraction: 98 × 9 = 882
  2. Divide this result by denominator of the fraction: 882/8 = 110.25
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 882/2 = 441
    • 8/2 = 4
  4. Which gives: 441/4

Since 441/4 is an improper fraction, the result could also be expressed as a mixed number: 110 1/4

How does it work?

The principle behind finding a fraction of a number, such as 9/8 of 98, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 8 = x 98 (where x represents 9/8 of 98)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 98 = 8 x
  2. Which gives: 882 = 8 x
  3. Divide both sides by 8 to isolate x: 882 8 = 8 x 8
  4. Which gives the result: 882 8 = x (or 441 4 = x )

Thus, 9/8 of 98 is equal to 441/4 (or 110.25 in its decimal form).