What is 7/10 of 5?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/10 of 5? We'll show you a straightforward method to achieve that.

How to calculate 7/10 of 5?

  1. Multiply the whole number by the numerator of the fraction: 5 × 7 = 35
  2. Divide this result by denominator of the fraction: 35/10 = 3.5
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 35/5 = 7
    • 10/5 = 2
  4. Which gives: 7/2

Since 7/2 is an improper fraction, the result could also be expressed as a mixed number: 3 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/10 of 5, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 10 = x 5 (where x represents 7/10 of 5)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 5 = 10 x
  2. Which gives: 35 = 10 x
  3. Divide both sides by 10 to isolate x: 35 10 = 10 x 10
  4. Which gives the result: 35 10 = x (or 7 2 = x )

Thus, 7/10 of 5 is equal to 7/2 (or 3.5 in its decimal form).