What is 10/4 of 95?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/4 of 95? We'll show you a straightforward method to achieve that.

How to calculate 10/4 of 95?

  1. Multiply the whole number by the numerator of the fraction: 95 × 10 = 950
  2. Divide this result by denominator of the fraction: 950/4 = 237.5
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 950/2 = 475
    • 4/2 = 2
  4. Which gives: 475/2

Since 475/2 is an improper fraction, the result could also be expressed as a mixed number: 237 1/2

How does it work?

The principle behind finding a fraction of a number, such as 10/4 of 95, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 4 = x 95 (where x represents 10/4 of 95)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 95 = 4 x
  2. Which gives: 950 = 4 x
  3. Divide both sides by 4 to isolate x: 950 4 = 4 x 4
  4. Which gives the result: 950 4 = x (or 475 2 = x )

Thus, 10/4 of 95 is equal to 475/2 (or 237.5 in its decimal form).