What is 7/6 of 58?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/6 of 58? We'll show you a straightforward method to achieve that.

How to calculate 7/6 of 58?

  1. Multiply the whole number by the numerator of the fraction: 58 × 7 = 406
  2. Divide this result by denominator of the fraction: 406/6 = 67.666666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 406/2 = 203
    • 6/2 = 3
  4. Which gives: 203/3

Since 203/3 is an improper fraction, the result could also be expressed as a mixed number: 67 2/3

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 6 = x 58 (where x represents 7/6 of 58)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 58 = 6 x
  2. Which gives: 406 = 6 x
  3. Divide both sides by 6 to isolate x: 406 6 = 6 x 6
  4. Which gives the result: 406 6 = x (or 203 3 = x )

Thus, 7/6 of 58 is equal to 203/3 (or 67.666666666667 in its decimal form).