What is 6/3 of 64?

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

How to calculate 6/3 of 64?

  1. Multiply the whole number by the numerator of the fraction: 64 × 6 = 384
  2. Divide this result by denominator of the fraction: 384/3 = 128
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 384/3 = 128
    • 3/3 = 1
  4. Which gives: 128/1

How does it work?

The principle behind finding a fraction of a number, such as 6/3 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 3 = x 64 (where x represents 6/3 of 64)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 64 = 3 x
  2. Which gives: 384 = 3 x
  3. Divide both sides by 3 to isolate x: 384 3 = 3 x 3
  4. Which gives the result: 384 3 = x (or 128 1 = x )

Thus, 6/3 of 64 is equal to 128/1 (or 128 in its decimal form).