What is 6/8 of 96?

How to calculate 6/8 of 96?

1. Multiply the whole number by the numerator of the fraction: 96 × 6 = 576
2. Divide this result by denominator of the fraction: 576/8 = 72
3. Simplify by dividing both the numerator and denominator by their GCD (8):
   • 576/8 = 72
   • 8/8 = 1
4. Which gives: 72/1

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{8}=\frac{x}{96}$ (where x represents 6/8 of 96)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 96=8x$
2. Which gives: $576=8x$
3. Divide both sides by 8 to isolate x: $\frac{576}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{576}{8}=x$ (or $\frac{72}{1}=x$)

Thus, 6/8 of 96 is equal to 72/1 (or 72 in its decimal form).