What is 10/8 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 10/8 of 67? We'll show you a straightforward method to achieve that.

How to calculate 10/8 of 67?

  1. Multiply the whole number by the numerator of the fraction: 67 × 10 = 670
  2. Divide this result by denominator of the fraction: 670/8 = 83.75
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 670/2 = 335
    • 8/2 = 4
  4. Which gives: 335/4

Since 335/4 is an improper fraction, the result could also be expressed as a mixed number: 83 3/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 8 = x 67 (where x represents 10/8 of 67)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 67 = 8 x
  2. Which gives: 670 = 8 x
  3. Divide both sides by 8 to isolate x: 670 8 = 8 x 8
  4. Which gives the result: 670 8 = x (or 335 4 = x )

Thus, 10/8 of 67 is equal to 335/4 (or 83.75 in its decimal form).