What is 7/7 of 47?

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

How to calculate 7/7 of 47?

  1. Multiply the whole number by the numerator of the fraction: 47 × 7 = 329
  2. Divide this result by denominator of the fraction: 329/7 = 47
  3. Simplify by dividing both the numerator and denominator by their GCD (7):
    • 329/7 = 47
    • 7/7 = 1
  4. Which gives: 47/1

How does it work?

The principle behind finding a fraction of a number, such as 7/7 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 7 = x 47 (where x represents 7/7 of 47)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 47 = 7 x
  2. Which gives: 329 = 7 x
  3. Divide both sides by 7 to isolate x: 329 7 = 7 x 7
  4. Which gives the result: 329 7 = x (or 47 1 = x )

Thus, 7/7 of 47 is equal to 47/1 (or 47 in its decimal form).