What is 2/2 of 40?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/2 of 40? We'll show you a straightforward method to achieve that.

How to calculate 2/2 of 40?

  1. Multiply the whole number by the numerator of the fraction: 40 × 2 = 80
  2. Divide this result by denominator of the fraction: 80/2 = 40
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 80/2 = 40
    • 2/2 = 1
  4. Which gives: 40/1

How does it work?

The principle behind finding a fraction of a number, such as 2/2 of 40, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 2 = x 40 (where x represents 2/2 of 40)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 40 = 2 x
  2. Which gives: 80 = 2 x
  3. Divide both sides by 2 to isolate x: 80 2 = 2 x 2
  4. Which gives the result: 80 2 = x (or 40 1 = x )

Thus, 2/2 of 40 is equal to 40/1 (or 40 in its decimal form).