What is 7/4 of 49?

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

How to calculate 7/4 of 49?

  1. Multiply the whole number by the numerator of the fraction: 49 × 7 = 343
  2. Divide this result by denominator of the fraction: 343/4 = 85.75

Since 343/4 is an improper fraction, the result could also be expressed as a mixed number: 85 3/4

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 49, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 4 = x 49 (where x represents 7/4 of 49)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 49 = 4 x
  2. Which gives: 343 = 4 x
  3. Divide both sides by 4 to isolate x: 343 4 = 4 x 4
  4. Which gives the result: 343 4 = x

Thus, 7/4 of 49 is equal to 343/4 (or 85.75 in its decimal form).