What is 4/10 of 53?

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

How to calculate 4/10 of 53?

  1. Multiply the whole number by the numerator of the fraction: 53 × 4 = 212
  2. Divide this result by denominator of the fraction: 212/10 = 21.2
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 212/2 = 106
    • 10/2 = 5
  4. Which gives: 106/5

Since 106/5 is an improper fraction, the result could also be expressed as a mixed number: 21 1/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 53, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 10 = x 53 (where x represents 4/10 of 53)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 53 = 10 x
  2. Which gives: 212 = 10 x
  3. Divide both sides by 10 to isolate x: 212 10 = 10 x 10
  4. Which gives the result: 212 10 = x (or 106 5 = x )

Thus, 4/10 of 53 is equal to 106/5 (or 21.2 in its decimal form).