What is 10/7 of 79?

How to calculate 10/7 of 79?

1. Multiply the whole number by the numerator of the fraction: 79 × 10 = 790
2. Divide this result by denominator of the fraction: 790/7 = 112.85714285714

Since 790/7 is an improper fraction, the result could also be expressed as a mixed number: 112 6/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{79}$ (where x represents 10/7 of 79)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 79=7x$
2. Which gives: $790=7x$
3. Divide both sides by 7 to isolate x: $\frac{790}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{790}{7}=x$

Thus, 10/7 of 79 is equal to 790/7 (or 112.85714285714 in its decimal form).