What is 4/7 of 64?

How to calculate 4/7 of 64?

1. Multiply the whole number by the numerator of the fraction: 64 × 4 = 256
2. Divide this result by denominator of the fraction: 256/7 = 36.571428571429

Since 256/7 is an improper fraction, the result could also be expressed as a mixed number: 36 4/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{64}$ (where x represents 4/7 of 64)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 64=7x$
2. Which gives: $256=7x$
3. Divide both sides by 7 to isolate x: $\frac{256}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{256}{7}=x$

Thus, 4/7 of 64 is equal to 256/7 (or 36.571428571429 in its decimal form).