What is 3/10 of 38?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/10 of 38? We'll show you a straightforward method to achieve that.

How to calculate 3/10 of 38?

  1. Multiply the whole number by the numerator of the fraction: 38 × 3 = 114
  2. Divide this result by denominator of the fraction: 114/10 = 11.4
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 114/2 = 57
    • 10/2 = 5
  4. Which gives: 57/5

Since 57/5 is an improper fraction, the result could also be expressed as a mixed number: 11 2/5

How does it work?

The principle behind finding a fraction of a number, such as 3/10 of 38, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 10 = x 38 (where x represents 3/10 of 38)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 38 = 10 x
  2. Which gives: 114 = 10 x
  3. Divide both sides by 10 to isolate x: 114 10 = 10 x 10
  4. Which gives the result: 114 10 = x (or 57 5 = x )

Thus, 3/10 of 38 is equal to 57/5 (or 11.4 in its decimal form).