What is 6/4 of 64?

How to calculate 6/4 of 64?

1. Multiply the whole number by the numerator of the fraction: 64 × 6 = 384
2. Divide this result by denominator of the fraction: 384/4 = 96
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 384/4 = 96
   • 4/4 = 1
4. Which gives: 96/1

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{4}=\frac{x}{64}$ (where x represents 6/4 of 64)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 64=4x$
2. Which gives: $384=4x$
3. Divide both sides by 4 to isolate x: $\frac{384}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{384}{4}=x$ (or $\frac{96}{1}=x$)

Thus, 6/4 of 64 is equal to 96/1 (or 96 in its decimal form).