What is 10/4 of 99?

How to calculate 10/4 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: 990/4 = 247.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 990/2 = 495
   • 4/2 = 2
4. Which gives: 495/2

Since 495/2 is an improper fraction, the result could also be expressed as a mixed number: 247 1/2

How does it work?

The principle behind finding a fraction of a number, such as 10/4 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{4}=\frac{x}{99}$ (where x represents 10/4 of 99)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 99=4x$
2. Which gives: $990=4x$
3. Divide both sides by 4 to isolate x: $\frac{990}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{990}{4}=x$ (or $\frac{495}{2}=x$)

Thus, 10/4 of 99 is equal to 495/2 (or 247.5 in its decimal form).