What is 4/4 of 38?

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

How to calculate 4/4 of 38?

  1. Multiply the whole number by the numerator of the fraction: 38 × 4 = 152
  2. Divide this result by denominator of the fraction: 152/4 = 38
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 152/4 = 38
    • 4/4 = 1
  4. Which gives: 38/1

How does it work?

The principle behind finding a fraction of a number, such as 4/4 of 38, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 4 = x 38 (where x represents 4/4 of 38)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 38 = 4 x
  2. Which gives: 152 = 4 x
  3. Divide both sides by 4 to isolate x: 152 4 = 4 x 4
  4. Which gives the result: 152 4 = x (or 38 1 = x )

Thus, 4/4 of 38 is equal to 38/1 (or 38 in its decimal form).