What is 10/7 of 99?

How to calculate 10/7 of 99?

1. Multiply the whole number by the numerator of the fraction: 99 × 10 = 990
2. Divide this result by denominator of the fraction: 990/7 = 141.42857142857

Since 990/7 is an improper fraction, the result could also be expressed as a mixed number: 141 3/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{99}$ (where x represents 10/7 of 99)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 99=7x$
2. Which gives: $990=7x$
3. Divide both sides by 7 to isolate x: $\frac{990}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{990}{7}=x$

Thus, 10/7 of 99 is equal to 990/7 (or 141.42857142857 in its decimal form).