What is 7/3 of 48?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/3 of 48? We'll show you a straightforward method to achieve that.

How to calculate 7/3 of 48?

  1. Multiply the whole number by the numerator of the fraction: 48 × 7 = 336
  2. Divide this result by denominator of the fraction: 336/3 = 112
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 336/3 = 112
    • 3/3 = 1
  4. Which gives: 112/1

How does it work?

The principle behind finding a fraction of a number, such as 7/3 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 3 = x 48 (where x represents 7/3 of 48)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 48 = 3 x
  2. Which gives: 336 = 3 x
  3. Divide both sides by 3 to isolate x: 336 3 = 3 x 3
  4. Which gives the result: 336 3 = x (or 112 1 = x )

Thus, 7/3 of 48 is equal to 112/1 (or 112 in its decimal form).