What is 7/5 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 7/5 of 40? We'll show you a straightforward method to achieve that.

How to calculate 7/5 of 40?

  1. Multiply the whole number by the numerator of the fraction: 40 × 7 = 280
  2. Divide this result by denominator of the fraction: 280/5 = 56
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 280/5 = 56
    • 5/5 = 1
  4. Which gives: 56/1

How does it work?

The principle behind finding a fraction of a number, such as 7/5 of 40, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 5 = x 40 (where x represents 7/5 of 40)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 40 = 5 x
  2. Which gives: 280 = 5 x
  3. Divide both sides by 5 to isolate x: 280 5 = 5 x 5
  4. Which gives the result: 280 5 = x (or 56 1 = x )

Thus, 7/5 of 40 is equal to 56/1 (or 56 in its decimal form).