What is 7/4 of 35?

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

How to calculate 7/4 of 35?

  1. Multiply the whole number by the numerator of the fraction: 35 × 7 = 245
  2. Divide this result by denominator of the fraction: 245/4 = 61.25

Since 245/4 is an improper fraction, the result could also be expressed as a mixed number: 61 1/4

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 35, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 4 = x 35 (where x represents 7/4 of 35)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 35 = 4 x
  2. Which gives: 245 = 4 x
  3. Divide both sides by 4 to isolate x: 245 4 = 4 x 4
  4. Which gives the result: 245 4 = x

Thus, 7/4 of 35 is equal to 245/4 (or 61.25 in its decimal form).