What is 6/9 of 96?

How to calculate 6/9 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: 576/9 = 64
3. Simplify by dividing both the numerator and denominator by their GCD (9):
   • 576/9 = 64
   • 9/9 = 1
4. Which gives: 64/1

How does it work?

The principle behind finding a fraction of a number, such as 6/9 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{9}=\frac{x}{96}$ (where x represents 6/9 of 96)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 96=9x$
2. Which gives: $576=9x$
3. Divide both sides by 9 to isolate x: $\frac{576}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{576}{9}=x$ (or $\frac{64}{1}=x$)

Thus, 6/9 of 96 is equal to 64/1 (or 64 in its decimal form).