What is 6/3 of 84?

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

How to calculate 6/3 of 84?

  1. Multiply the whole number by the numerator of the fraction: 84 × 6 = 504
  2. Divide this result by denominator of the fraction: 504/3 = 168
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 504/3 = 168
    • 3/3 = 1
  4. Which gives: 168/1

How does it work?

The principle behind finding a fraction of a number, such as 6/3 of 84, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 3 = x 84 (where x represents 6/3 of 84)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 84 = 3 x
  2. Which gives: 504 = 3 x
  3. Divide both sides by 3 to isolate x: 504 3 = 3 x 3
  4. Which gives the result: 504 3 = x (or 168 1 = x )

Thus, 6/3 of 84 is equal to 168/1 (or 168 in its decimal form).