What is 5/3 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 5/3 of 98? We'll show you a straightforward method to achieve that.

How to calculate 5/3 of 98?

  1. Multiply the whole number by the numerator of the fraction: 98 × 5 = 490
  2. Divide this result by denominator of the fraction: 490/3 = 163.33333333333

Since 490/3 is an improper fraction, the result could also be expressed as a mixed number: 163 1/3

How does it work?

The principle behind finding a fraction of a number, such as 5/3 of 98, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 3 = x 98 (where x represents 5/3 of 98)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 98 = 3 x
  2. Which gives: 490 = 3 x
  3. Divide both sides by 3 to isolate x: 490 3 = 3 x 3
  4. Which gives the result: 490 3 = x

Thus, 5/3 of 98 is equal to 490/3 (or 163.33333333333 in its decimal form).