What is 10/8 of 55?

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

How to calculate 10/8 of 55?

  1. Multiply the whole number by the numerator of the fraction: 55 × 10 = 550
  2. Divide this result by denominator of the fraction: 550/8 = 68.75
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 550/2 = 275
    • 8/2 = 4
  4. Which gives: 275/4

Since 275/4 is an improper fraction, the result could also be expressed as a mixed number: 68 3/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 8 = x 55 (where x represents 10/8 of 55)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 55 = 8 x
  2. Which gives: 550 = 8 x
  3. Divide both sides by 8 to isolate x: 550 8 = 8 x 8
  4. Which gives the result: 550 8 = x (or 275 4 = x )

Thus, 10/8 of 55 is equal to 275/4 (or 68.75 in its decimal form).