What is 1/6 of 29?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/6 of 29? We'll show you a straightforward method to achieve that.

How to calculate 1/6 of 29?

  1. Multiply the whole number by the numerator of the fraction: 29 × 1 = 29
  2. Divide this result by denominator of the fraction: 29/6 = 4.8333333333333

Since 29/6 is an improper fraction, the result could also be expressed as a mixed number: 4 5/6

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 29, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 6 = x 29 (where x represents 1/6 of 29)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 29 = 6 x
  2. Which gives: 29 = 6 x
  3. Divide both sides by 6 to isolate x: 29 6 = 6 x 6
  4. Which gives the result: 29 6 = x

Thus, 1/6 of 29 is equal to 29/6 (or 4.8333333333333 in its decimal form).