What is 6/3 of 37?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/3 of 37? We'll show you a straightforward method to achieve that.

How to calculate 6/3 of 37?

  1. Multiply the whole number by the numerator of the fraction: 37 × 6 = 222
  2. Divide this result by denominator of the fraction: 222/3 = 74
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 222/3 = 74
    • 3/3 = 1
  4. Which gives: 74/1

How does it work?

The principle behind finding a fraction of a number, such as 6/3 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 3 = x 37 (where x represents 6/3 of 37)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 37 = 3 x
  2. Which gives: 222 = 3 x
  3. Divide both sides by 3 to isolate x: 222 3 = 3 x 3
  4. Which gives the result: 222 3 = x (or 74 1 = x )

Thus, 6/3 of 37 is equal to 74/1 (or 74 in its decimal form).