What is 6/10 of 67?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/10 of 67? We'll show you a straightforward method to achieve that.

How to calculate 6/10 of 67?

  1. Multiply the whole number by the numerator of the fraction: 67 × 6 = 402
  2. Divide this result by denominator of the fraction: 402/10 = 40.2
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 402/2 = 201
    • 10/2 = 5
  4. Which gives: 201/5

Since 201/5 is an improper fraction, the result could also be expressed as a mixed number: 40 1/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 10 = x 67 (where x represents 6/10 of 67)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 67 = 10 x
  2. Which gives: 402 = 10 x
  3. Divide both sides by 10 to isolate x: 402 10 = 10 x 10
  4. Which gives the result: 402 10 = x (or 201 5 = x )

Thus, 6/10 of 67 is equal to 201/5 (or 40.2 in its decimal form).