What is 10/8 of 9?

How to calculate 10/8 of 9?

1. Multiply the whole number by the numerator of the fraction: 9 × 10 = 90
2. Divide this result by denominator of the fraction: 90/8 = 11.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 90/2 = 45
   • 8/2 = 4
4. Which gives: 45/4

Since 45/4 is an improper fraction, the result could also be expressed as a mixed number: 11 1/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 9, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{9}$ (where x represents 10/8 of 9)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 9=8x$
2. Which gives: $90=8x$
3. Divide both sides by 8 to isolate x: $\frac{90}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{90}{8}=x$ (or $\frac{45}{4}=x$)

Thus, 10/8 of 9 is equal to 45/4 (or 11.25 in its decimal form).