What is 8/6 of 76?

How to calculate 8/6 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 8 = 608
2. Divide this result by denominator of the fraction: 608/6 = 101.33333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 608/2 = 304
   • 6/2 = 3
4. Which gives: 304/3

Since 304/3 is an improper fraction, the result could also be expressed as a mixed number: 101 1/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{76}$ (where x represents 8/6 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 76=6x$
2. Which gives: $608=6x$
3. Divide both sides by 6 to isolate x: $\frac{608}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{608}{6}=x$ (or $\frac{304}{3}=x$)

Thus, 8/6 of 76 is equal to 304/3 (or 101.33333333333 in its decimal form).