What is 7/5 of 74?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/5 of 74? We'll show you a straightforward method to achieve that.

How to calculate 7/5 of 74?

  1. Multiply the whole number by the numerator of the fraction: 74 × 7 = 518
  2. Divide this result by denominator of the fraction: 518/5 = 103.6

Since 518/5 is an improper fraction, the result could also be expressed as a mixed number: 103 3/5

How does it work?

The principle behind finding a fraction of a number, such as 7/5 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 5 = x 74 (where x represents 7/5 of 74)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 74 = 5 x
  2. Which gives: 518 = 5 x
  3. Divide both sides by 5 to isolate x: 518 5 = 5 x 5
  4. Which gives the result: 518 5 = x

Thus, 7/5 of 74 is equal to 518/5 (or 103.6 in its decimal form).