What is 1/9 of 91?

How to calculate 1/9 of 91?

1. Multiply the whole number by the numerator of the fraction: 91 × 1 = 91
2. Divide this result by denominator of the fraction: 91/9 = 10.111111111111

Since 91/9 is an improper fraction, the result could also be expressed as a mixed number: 10 1/9

How does it work?

The principle behind finding a fraction of a number, such as 1/9 of 91, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{9}=\frac{x}{91}$ (where x represents 1/9 of 91)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 91=9x$
2. Which gives: $91=9x$
3. Divide both sides by 9 to isolate x: $\frac{91}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{91}{9}=x$

Thus, 1/9 of 91 is equal to 91/9 (or 10.111111111111 in its decimal form).