What is 9/6 of 64?

How to calculate 9/6 of 64?

1. Multiply the whole number by the numerator of the fraction: 64 × 9 = 576
2. Divide this result by denominator of the fraction: 576/6 = 96
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 576/6 = 96
   • 6/6 = 1
4. Which gives: 96/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{64}$ (where x represents 9/6 of 64)

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

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