What is 3/9 of 99?

How to calculate 3/9 of 99?

1. Multiply the whole number by the numerator of the fraction: 99 × 3 = 297
2. Divide this result by denominator of the fraction: 297/9 = 33
3. Simplify by dividing both the numerator and denominator by their GCD (9):
   • 297/9 = 33
   • 9/9 = 1
4. Which gives: 33/1

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{99}$ (where x represents 3/9 of 99)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 99=9x$
2. Which gives: $297=9x$
3. Divide both sides by 9 to isolate x: $\frac{297}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{297}{9}=x$ (or $\frac{33}{1}=x$)

Thus, 3/9 of 99 is equal to 33/1 (or 33 in its decimal form).