What is 10/6 of 99?

How to calculate 10/6 of 99?

1. Multiply the whole number by the numerator of the fraction: 99 × 10 = 990
2. Divide this result by denominator of the fraction: 990/6 = 165
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 990/6 = 165
   • 6/6 = 1
4. Which gives: 165/1

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{99}$ (where x represents 10/6 of 99)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 99=6x$
2. Which gives: $990=6x$
3. Divide both sides by 6 to isolate x: $\frac{990}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{990}{6}=x$ (or $\frac{165}{1}=x$)

Thus, 10/6 of 99 is equal to 165/1 (or 165 in its decimal form).