What is 8/7 of 36?

How to calculate 8/7 of 36?

1. Multiply the whole number by the numerator of the fraction: 36 × 8 = 288
2. Divide this result by denominator of the fraction: 288/7 = 41.142857142857

Since 288/7 is an improper fraction, the result could also be expressed as a mixed number: 41 1/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 36, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{36}$ (where x represents 8/7 of 36)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 36=7x$
2. Which gives: $288=7x$
3. Divide both sides by 7 to isolate x: $\frac{288}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{288}{7}=x$

Thus, 8/7 of 36 is equal to 288/7 (or 41.142857142857 in its decimal form).