What is 4/10 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 4/10 of 34? We'll show you a straightforward method to achieve that.

How to calculate 4/10 of 34?

  1. Multiply the whole number by the numerator of the fraction: 34 × 4 = 136
  2. Divide this result by denominator of the fraction: 136/10 = 13.6
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 136/2 = 68
    • 10/2 = 5
  4. Which gives: 68/5

Since 68/5 is an improper fraction, the result could also be expressed as a mixed number: 13 3/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 10 = x 34 (where x represents 4/10 of 34)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 34 = 10 x
  2. Which gives: 136 = 10 x
  3. Divide both sides by 10 to isolate x: 136 10 = 10 x 10
  4. Which gives the result: 136 10 = x (or 68 5 = x )

Thus, 4/10 of 34 is equal to 68/5 (or 13.6 in its decimal form).