What is 1/9 of 71?

How to calculate 1/9 of 71?

1. Multiply the whole number by the numerator of the fraction: 71 × 1 = 71
2. Divide this result by denominator of the fraction: 71/9 = 7.8888888888889

Since 71/9 is an improper fraction, the result could also be expressed as a mixed number: 7 8/9

How does it work?

The principle behind finding a fraction of a number, such as 1/9 of 71, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{9}=\frac{x}{71}$ (where x represents 1/9 of 71)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 71=9x$
2. Which gives: $71=9x$
3. Divide both sides by 9 to isolate x: $\frac{71}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{71}{9}=x$

Thus, 1/9 of 71 is equal to 71/9 (or 7.8888888888889 in its decimal form).