What is 10/5 of 35?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/5 of 35? We'll show you a straightforward method to achieve that.

How to calculate 10/5 of 35?

  1. Multiply the whole number by the numerator of the fraction: 35 × 10 = 350
  2. Divide this result by denominator of the fraction: 350/5 = 70
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 350/5 = 70
    • 5/5 = 1
  4. Which gives: 70/1

How does it work?

The principle behind finding a fraction of a number, such as 10/5 of 35, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 5 = x 35 (where x represents 10/5 of 35)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 35 = 5 x
  2. Which gives: 350 = 5 x
  3. Divide both sides by 5 to isolate x: 350 5 = 5 x 5
  4. Which gives the result: 350 5 = x (or 70 1 = x )

Thus, 10/5 of 35 is equal to 70/1 (or 70 in its decimal form).