What is 4/10 of 23?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/10 of 23? We'll show you a straightforward method to achieve that.

How to calculate 4/10 of 23?

  1. Multiply the whole number by the numerator of the fraction: 23 × 4 = 92
  2. Divide this result by denominator of the fraction: 92/10 = 9.2
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 92/2 = 46
    • 10/2 = 5
  4. Which gives: 46/5

Since 46/5 is an improper fraction, the result could also be expressed as a mixed number: 9 1/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 23, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 10 = x 23 (where x represents 4/10 of 23)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 23 = 10 x
  2. Which gives: 92 = 10 x
  3. Divide both sides by 10 to isolate x: 92 10 = 10 x 10
  4. Which gives the result: 92 10 = x (or 46 5 = x )

Thus, 4/10 of 23 is equal to 46/5 (or 9.2 in its decimal form).