What is 7/1 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 7/1 of 46? We'll show you a straightforward method to achieve that.

How to calculate 7/1 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: 322/1 = 322

How does it work?

The principle behind finding a fraction of a number, such as 7/1 of 46, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 1 = x 46 (where x represents 7/1 of 46)

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

Thus, 7/1 of 46 is equal to 322/1 (or 322 in its decimal form).