What is 7/4 of 75?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/4 of 75? We'll show you a straightforward method to achieve that.

How to calculate 7/4 of 75?

  1. Multiply the whole number by the numerator of the fraction: 75 × 7 = 525
  2. Divide this result by denominator of the fraction: 525/4 = 131.25

Since 525/4 is an improper fraction, the result could also be expressed as a mixed number: 131 1/4

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 4 = x 75 (where x represents 7/4 of 75)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 75 = 4 x
  2. Which gives: 525 = 4 x
  3. Divide both sides by 4 to isolate x: 525 4 = 4 x 4
  4. Which gives the result: 525 4 = x

Thus, 7/4 of 75 is equal to 525/4 (or 131.25 in its decimal form).