What is 1/8 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 1/8 of 49? We'll show you a straightforward method to achieve that.

How to calculate 1/8 of 49?

  1. Multiply the whole number by the numerator of the fraction: 49 × 1 = 49
  2. Divide this result by denominator of the fraction: 49/8 = 6.125

Since 49/8 is an improper fraction, the result could also be expressed as a mixed number: 6 1/8

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 49, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 8 = x 49 (where x represents 1/8 of 49)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 49 = 8 x
  2. Which gives: 49 = 8 x
  3. Divide both sides by 8 to isolate x: 49 8 = 8 x 8
  4. Which gives the result: 49 8 = x

Thus, 1/8 of 49 is equal to 49/8 (or 6.125 in its decimal form).