What is 7/10 of 46?

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

How to calculate 7/10 of 46?

  1. Multiply the whole number by the numerator of the fraction: 46 × 7 = 322
  2. Divide this result by denominator of the fraction: 322/10 = 32.2
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 322/2 = 161
    • 10/2 = 5
  4. Which gives: 161/5

Since 161/5 is an improper fraction, the result could also be expressed as a mixed number: 32 1/5

How does it work?

The principle behind finding a fraction of a number, such as 7/10 of 46, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 10 = x 46 (where x represents 7/10 of 46)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 46 = 10 x
  2. Which gives: 322 = 10 x
  3. Divide both sides by 10 to isolate x: 322 10 = 10 x 10
  4. Which gives the result: 322 10 = x (or 161 5 = x )

Thus, 7/10 of 46 is equal to 161/5 (or 32.2 in its decimal form).