What is 10/10 of 83?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/10 of 83? We'll show you a straightforward method to achieve that.

How to calculate 10/10 of 83?

  1. Multiply the whole number by the numerator of the fraction: 83 × 10 = 830
  2. Divide this result by denominator of the fraction: 830/10 = 83
  3. Simplify by dividing both the numerator and denominator by their GCD (10):
    • 830/10 = 83
    • 10/10 = 1
  4. Which gives: 83/1

How does it work?

The principle behind finding a fraction of a number, such as 10/10 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 10 = x 83 (where x represents 10/10 of 83)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 83 = 10 x
  2. Which gives: 830 = 10 x
  3. Divide both sides by 10 to isolate x: 830 10 = 10 x 10
  4. Which gives the result: 830 10 = x (or 83 1 = x )

Thus, 10/10 of 83 is equal to 83/1 (or 83 in its decimal form).