What is 1/9 of 99?

How to calculate 1/9 of 99?

1. Multiply the whole number by the numerator of the fraction: 99 × 1 = 99
2. Divide this result by denominator of the fraction: 99/9 = 11
3. Simplify by dividing both the numerator and denominator by their GCD (9):
   • 99/9 = 11
   • 9/9 = 1
4. Which gives: 11/1

How does it work?

The principle behind finding a fraction of a number, such as 1/9 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{9}=\frac{x}{99}$ (where x represents 1/9 of 99)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 99=9x$
2. Which gives: $99=9x$
3. Divide both sides by 9 to isolate x: $\frac{99}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{99}{9}=x$ (or $\frac{11}{1}=x$)

Thus, 1/9 of 99 is equal to 11/1 (or 11 in its decimal form).