What is 3/5 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 3/5 of 34? We'll show you a straightforward method to achieve that.

How to calculate 3/5 of 34?

  1. Multiply the whole number by the numerator of the fraction: 34 × 3 = 102
  2. Divide this result by denominator of the fraction: 102/5 = 20.4

Since 102/5 is an improper fraction, the result could also be expressed as a mixed number: 20 2/5

How does it work?

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

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

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 34 = 5 x
  2. Which gives: 102 = 5 x
  3. Divide both sides by 5 to isolate x: 102 5 = 5 x 5
  4. Which gives the result: 102 5 = x

Thus, 3/5 of 34 is equal to 102/5 (or 20.4 in its decimal form).