What is 1/6 of 64?

How to calculate 1/6 of 64?

1. Multiply the whole number by the numerator of the fraction: 64 × 1 = 64
2. Divide this result by denominator of the fraction: 64/6 = 10.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 64/2 = 32
   • 6/2 = 3
4. Which gives: 32/3

Since 32/3 is an improper fraction, the result could also be expressed as a mixed number: 10 2/3

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{6}=\frac{x}{64}$ (where x represents 1/6 of 64)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 64=6x$
2. Which gives: $64=6x$
3. Divide both sides by 6 to isolate x: $\frac{64}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{64}{6}=x$ (or $\frac{32}{3}=x$)

Thus, 1/6 of 64 is equal to 32/3 (or 10.666666666667 in its decimal form).