What is 10/7 of 18?

How to calculate 10/7 of 18?

1. Multiply the whole number by the numerator of the fraction: 18 × 10 = 180
2. Divide this result by denominator of the fraction: 180/7 = 25.714285714286

Since 180/7 is an improper fraction, the result could also be expressed as a mixed number: 25 5/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 18, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{18}$ (where x represents 10/7 of 18)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 18=7x$
2. Which gives: $180=7x$
3. Divide both sides by 7 to isolate x: $\frac{180}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{180}{7}=x$

Thus, 10/7 of 18 is equal to 180/7 (or 25.714285714286 in its decimal form).