What is 9/7 of 7?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/7 of 7? We'll show you a straightforward method to achieve that.

How to calculate 9/7 of 7?

  1. Multiply the whole number by the numerator of the fraction: 7 × 9 = 63
  2. Divide this result by denominator of the fraction: 63/7 = 9
  3. Simplify by dividing both the numerator and denominator by their GCD (7):
    • 63/7 = 9
    • 7/7 = 1
  4. Which gives: 9/1

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 7, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 7 = x 7 (where x represents 9/7 of 7)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 7 = 7 x
  2. Which gives: 63 = 7 x
  3. Divide both sides by 7 to isolate x: 63 7 = 7 x 7
  4. Which gives the result: 63 7 = x (or 9 1 = x )

Thus, 9/7 of 7 is equal to 9/1 (or 9 in its decimal form).