What is 6/4 of 2?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/4 of 2? We'll show you a straightforward method to achieve that.

How to calculate 6/4 of 2?

  1. Multiply the whole number by the numerator of the fraction: 2 × 6 = 12
  2. Divide this result by denominator of the fraction: 12/4 = 3
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 12/4 = 3
    • 4/4 = 1
  4. Which gives: 3/1

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 2, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 4 = x 2 (where x represents 6/4 of 2)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 2 = 4 x
  2. Which gives: 12 = 4 x
  3. Divide both sides by 4 to isolate x: 12 4 = 4 x 4
  4. Which gives the result: 12 4 = x (or 3 1 = x )

Thus, 6/4 of 2 is equal to 3/1 (or 3 in its decimal form).