What is 6/2 of 53?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/2 of 53? We'll show you a straightforward method to achieve that.

How to calculate 6/2 of 53?

  1. Multiply the whole number by the numerator of the fraction: 53 × 6 = 318
  2. Divide this result by denominator of the fraction: 318/2 = 159
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 318/2 = 159
    • 2/2 = 1
  4. Which gives: 159/1

How does it work?

The principle behind finding a fraction of a number, such as 6/2 of 53, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 2 = x 53 (where x represents 6/2 of 53)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 53 = 2 x
  2. Which gives: 318 = 2 x
  3. Divide both sides by 2 to isolate x: 318 2 = 2 x 2
  4. Which gives the result: 318 2 = x (or 159 1 = x )

Thus, 6/2 of 53 is equal to 159/1 (or 159 in its decimal form).