What is 8/5 of 46?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/5 of 46? We'll show you a straightforward method to achieve that.

How to calculate 8/5 of 46?

  1. Multiply the whole number by the numerator of the fraction: 46 × 8 = 368
  2. Divide this result by denominator of the fraction: 368/5 = 73.6

Since 368/5 is an improper fraction, the result could also be expressed as a mixed number: 73 3/5

How does it work?

The principle behind finding a fraction of a number, such as 8/5 of 46, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 5 = x 46 (where x represents 8/5 of 46)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 46 = 5 x
  2. Which gives: 368 = 5 x
  3. Divide both sides by 5 to isolate x: 368 5 = 5 x 5
  4. Which gives the result: 368 5 = x

Thus, 8/5 of 46 is equal to 368/5 (or 73.6 in its decimal form).