What is 5/3 of 34?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/3 of 34? We'll show you a straightforward method to achieve that.

How to calculate 5/3 of 34?

  1. Multiply the whole number by the numerator of the fraction: 34 × 5 = 170
  2. Divide this result by denominator of the fraction: 170/3 = 56.666666666667

Since 170/3 is an improper fraction, the result could also be expressed as a mixed number: 56 2/3

How does it work?

The principle behind finding a fraction of a number, such as 5/3 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 3 = x 34 (where x represents 5/3 of 34)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 34 = 3 x
  2. Which gives: 170 = 3 x
  3. Divide both sides by 3 to isolate x: 170 3 = 3 x 3
  4. Which gives the result: 170 3 = x

Thus, 5/3 of 34 is equal to 170/3 (or 56.666666666667 in its decimal form).