What is 4/4 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 4/4 of 46? We'll show you a straightforward method to achieve that.

How to calculate 4/4 of 46?

  1. Multiply the whole number by the numerator of the fraction: 46 × 4 = 184
  2. Divide this result by denominator of the fraction: 184/4 = 46
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 184/4 = 46
    • 4/4 = 1
  4. Which gives: 46/1

How does it work?

The principle behind finding a fraction of a number, such as 4/4 of 46, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 4 = x 46 (where x represents 4/4 of 46)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 46 = 4 x
  2. Which gives: 184 = 4 x
  3. Divide both sides by 4 to isolate x: 184 4 = 4 x 4
  4. Which gives the result: 184 4 = x (or 46 1 = x )

Thus, 4/4 of 46 is equal to 46/1 (or 46 in its decimal form).