What is 10/4 of 90?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/4 of 90? We'll show you a straightforward method to achieve that.

How to calculate 10/4 of 90?

  1. Multiply the whole number by the numerator of the fraction: 90 × 10 = 900
  2. Divide this result by denominator of the fraction: 900/4 = 225
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 900/4 = 225
    • 4/4 = 1
  4. Which gives: 225/1

How does it work?

The principle behind finding a fraction of a number, such as 10/4 of 90, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 4 = x 90 (where x represents 10/4 of 90)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 90 = 4 x
  2. Which gives: 900 = 4 x
  3. Divide both sides by 4 to isolate x: 900 4 = 4 x 4
  4. Which gives the result: 900 4 = x (or 225 1 = x )

Thus, 10/4 of 90 is equal to 225/1 (or 225 in its decimal form).