What is 8/7 of 56?

How to calculate 8/7 of 56?

1. Multiply the whole number by the numerator of the fraction: 56 × 8 = 448
2. Divide this result by denominator of the fraction: 448/7 = 64
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 448/7 = 64
   • 7/7 = 1
4. Which gives: 64/1

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 56, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{56}$ (where x represents 8/7 of 56)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 56=7x$
2. Which gives: $448=7x$
3. Divide both sides by 7 to isolate x: $\frac{448}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{448}{7}=x$ (or $\frac{64}{1}=x$)

Thus, 8/7 of 56 is equal to 64/1 (or 64 in its decimal form).