What is 10/9 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 10/9 of 34? We'll show you a straightforward method to achieve that.

How to calculate 10/9 of 34?

  1. Multiply the whole number by the numerator of the fraction: 34 × 10 = 340
  2. Divide this result by denominator of the fraction: 340/9 = 37.777777777778

Since 340/9 is an improper fraction, the result could also be expressed as a mixed number: 37 7/9

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 34 (where x represents 10/9 of 34)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 34 = 9 x
  2. Which gives: 340 = 9 x
  3. Divide both sides by 9 to isolate x: 340 9 = 9 x 9
  4. Which gives the result: 340 9 = x

Thus, 10/9 of 34 is equal to 340/9 (or 37.777777777778 in its decimal form).