What is 7/4 of 37?

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 37? We'll show you a straightforward method to achieve that.

How to calculate 7/4 of 37?

  1. Multiply the whole number by the numerator of the fraction: 37 × 7 = 259
  2. Divide this result by denominator of the fraction: 259/4 = 64.75

Since 259/4 is an improper fraction, the result could also be expressed as a mixed number: 64 3/4

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 4 = x 37 (where x represents 7/4 of 37)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 37 = 4 x
  2. Which gives: 259 = 4 x
  3. Divide both sides by 4 to isolate x: 259 4 = 4 x 4
  4. Which gives the result: 259 4 = x

Thus, 7/4 of 37 is equal to 259/4 (or 64.75 in its decimal form).