What is 3/3 of 71?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/3 of 71? We'll show you a straightforward method to achieve that.

How to calculate 3/3 of 71?

  1. Multiply the whole number by the numerator of the fraction: 71 × 3 = 213
  2. Divide this result by denominator of the fraction: 213/3 = 71
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 213/3 = 71
    • 3/3 = 1
  4. Which gives: 71/1

How does it work?

The principle behind finding a fraction of a number, such as 3/3 of 71, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 3 = x 71 (where x represents 3/3 of 71)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 71 = 3 x
  2. Which gives: 213 = 3 x
  3. Divide both sides by 3 to isolate x: 213 3 = 3 x 3
  4. Which gives the result: 213 3 = x (or 71 1 = x )

Thus, 3/3 of 71 is equal to 71/1 (or 71 in its decimal form).