What is 7/7 of 3?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/7 of 3? We'll show you a straightforward method to achieve that.

How to calculate 7/7 of 3?

  1. Multiply the whole number by the numerator of the fraction: 3 × 7 = 21
  2. Divide this result by denominator of the fraction: 21/7 = 3
  3. Simplify by dividing both the numerator and denominator by their GCD (7):
    • 21/7 = 3
    • 7/7 = 1
  4. Which gives: 3/1

How does it work?

The principle behind finding a fraction of a number, such as 7/7 of 3, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 7 = x 3 (where x represents 7/7 of 3)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 3 = 7 x
  2. Which gives: 21 = 7 x
  3. Divide both sides by 7 to isolate x: 21 7 = 7 x 7
  4. Which gives the result: 21 7 = x (or 3 1 = x )

Thus, 7/7 of 3 is equal to 3/1 (or 3 in its decimal form).