What is 7/10 of 74?

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 74? We'll show you a straightforward method to achieve that.

How to calculate 7/10 of 74?

  1. Multiply the whole number by the numerator of the fraction: 74 × 7 = 518
  2. Divide this result by denominator of the fraction: 518/10 = 51.8
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 518/2 = 259
    • 10/2 = 5
  4. Which gives: 259/5

Since 259/5 is an improper fraction, the result could also be expressed as a mixed number: 51 4/5

How does it work?

The principle behind finding a fraction of a number, such as 7/10 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 10 = x 74 (where x represents 7/10 of 74)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 74 = 10 x
  2. Which gives: 518 = 10 x
  3. Divide both sides by 10 to isolate x: 518 10 = 10 x 10
  4. Which gives the result: 518 10 = x (or 259 5 = x )

Thus, 7/10 of 74 is equal to 259/5 (or 51.8 in its decimal form).