What is 1/10 of 45?

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 45? We'll show you a straightforward method to achieve that.

How to calculate 1/10 of 45?

  1. Multiply the whole number by the numerator of the fraction: 45 × 1 = 45
  2. Divide this result by denominator of the fraction: 45/10 = 4.5
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 45/5 = 9
    • 10/5 = 2
  4. Which gives: 9/2

Since 9/2 is an improper fraction, the result could also be expressed as a mixed number: 4 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 45, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 10 = x 45 (where x represents 1/10 of 45)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 45 = 10 x
  2. Which gives: 45 = 10 x
  3. Divide both sides by 10 to isolate x: 45 10 = 10 x 10
  4. Which gives the result: 45 10 = x (or 9 2 = x )

Thus, 1/10 of 45 is equal to 9/2 (or 4.5 in its decimal form).