What is 10/7 of 88?

How to calculate 10/7 of 88?

1. Multiply the whole number by the numerator of the fraction: 88 × 10 = 880
2. Divide this result by denominator of the fraction: 880/7 = 125.71428571429

Since 880/7 is an improper fraction, the result could also be expressed as a mixed number: 125 5/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 88, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{88}$ (where x represents 10/7 of 88)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 88=7x$
2. Which gives: $880=7x$
3. Divide both sides by 7 to isolate x: $\frac{880}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{880}{7}=x$

Thus, 10/7 of 88 is equal to 880/7 (or 125.71428571429 in its decimal form).