What is 10/8 of 15?

How to calculate 10/8 of 15?

1. Multiply the whole number by the numerator of the fraction: 15 × 10 = 150
2. Divide this result by denominator of the fraction: 150/8 = 18.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 150/2 = 75
   • 8/2 = 4
4. Which gives: 75/4

Since 75/4 is an improper fraction, the result could also be expressed as a mixed number: 18 3/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 15, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{15}$ (where x represents 10/8 of 15)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 15=8x$
2. Which gives: $150=8x$
3. Divide both sides by 8 to isolate x: $\frac{150}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{150}{8}=x$ (or $\frac{75}{4}=x$)

Thus, 10/8 of 15 is equal to 75/4 (or 18.75 in its decimal form).