What is 1/10 of 95?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/10 of 95? We'll show you a straightforward method to achieve that.

How to calculate 1/10 of 95?

  1. Multiply the whole number by the numerator of the fraction: 95 × 1 = 95
  2. Divide this result by denominator of the fraction: 95/10 = 9.5
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 95/5 = 19
    • 10/5 = 2
  4. Which gives: 19/2

Since 19/2 is an improper fraction, the result could also be expressed as a mixed number: 9 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 95, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 10 = x 95 (where x represents 1/10 of 95)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 95 = 10 x
  2. Which gives: 95 = 10 x
  3. Divide both sides by 10 to isolate x: 95 10 = 10 x 10
  4. Which gives the result: 95 10 = x (or 19 2 = x )

Thus, 1/10 of 95 is equal to 19/2 (or 9.5 in its decimal form).