What is 8/7 of 61?

How to calculate 8/7 of 61?

1. Multiply the whole number by the numerator of the fraction: 61 × 8 = 488
2. Divide this result by denominator of the fraction: 488/7 = 69.714285714286

Since 488/7 is an improper fraction, the result could also be expressed as a mixed number: 69 5/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 61, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{61}$ (where x represents 8/7 of 61)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 61=7x$
2. Which gives: $488=7x$
3. Divide both sides by 7 to isolate x: $\frac{488}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{488}{7}=x$

Thus, 8/7 of 61 is equal to 488/7 (or 69.714285714286 in its decimal form).