What is 4/4 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 4/4 of 90? We'll show you a straightforward method to achieve that.

How to calculate 4/4 of 90?

  1. Multiply the whole number by the numerator of the fraction: 90 × 4 = 360
  2. Divide this result by denominator of the fraction: 360/4 = 90
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 360/4 = 90
    • 4/4 = 1
  4. Which gives: 90/1

How does it work?

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

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

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 90 = 4 x
  2. Which gives: 360 = 4 x
  3. Divide both sides by 4 to isolate x: 360 4 = 4 x 4
  4. Which gives the result: 360 4 = x (or 90 1 = x )

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