What is 9/7 of 18?

How to calculate 9/7 of 18?

1. Multiply the whole number by the numerator of the fraction: 18 × 9 = 162
2. Divide this result by denominator of the fraction: 162/7 = 23.142857142857

Since 162/7 is an improper fraction, the result could also be expressed as a mixed number: 23 1/7

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 18, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{7}=\frac{x}{18}$ (where x represents 9/7 of 18)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 18=7x$
2. Which gives: $162=7x$
3. Divide both sides by 7 to isolate x: $\frac{162}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{162}{7}=x$

Thus, 9/7 of 18 is equal to 162/7 (or 23.142857142857 in its decimal form).