What is 9/7 of 88?

How to calculate 9/7 of 88?

1. Multiply the whole number by the numerator of the fraction: 88 × 9 = 792
2. Divide this result by denominator of the fraction: 792/7 = 113.14285714286

Since 792/7 is an improper fraction, the result could also be expressed as a mixed number: 113 1/7

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 88, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{7}=\frac{x}{88}$ (where x represents 9/7 of 88)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 88=7x$
2. Which gives: $792=7x$
3. Divide both sides by 7 to isolate x: $\frac{792}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{792}{7}=x$

Thus, 9/7 of 88 is equal to 792/7 (or 113.14285714286 in its decimal form).