What is 6/10 of 99?

How to calculate 6/10 of 99?

1. Multiply the whole number by the numerator of the fraction: 99 × 6 = 594
2. Divide this result by denominator of the fraction: 594/10 = 59.4
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 594/2 = 297
   • 10/2 = 5
4. Which gives: 297/5

Since 297/5 is an improper fraction, the result could also be expressed as a mixed number: 59 2/5

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 99=10x$
2. Which gives: $594=10x$
3. Divide both sides by 10 to isolate x: $\frac{594}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{594}{10}=x$ (or $\frac{297}{5}=x$)

Thus, 6/10 of 99 is equal to 297/5 (or 59.4 in its decimal form).