What is 6/8 of 15?

How to calculate 6/8 of 15?

1. Multiply the whole number by the numerator of the fraction: 15 × 6 = 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 6/8 of 15, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{8}=\frac{x}{15}$ (where x represents 6/8 of 15)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 15=8x$
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, 6/8 of 15 is equal to 45/4 (or 11.25 in its decimal form).