What is 5/9 of 15?

How to calculate 5/9 of 15?

1. Multiply the whole number by the numerator of the fraction: 15 × 5 = 75
2. Divide this result by denominator of the fraction: 75/9 = 8.3333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 75/3 = 25
   • 9/3 = 3
4. Which gives: 25/3

Since 25/3 is an improper fraction, the result could also be expressed as a mixed number: 8 1/3

How does it work?

The principle behind finding a fraction of a number, such as 5/9 of 15, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{9}=\frac{x}{15}$ (where x represents 5/9 of 15)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 15=9x$
2. Which gives: $75=9x$
3. Divide both sides by 9 to isolate x: $\frac{75}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{75}{9}=x$ (or $\frac{25}{3}=x$)

Thus, 5/9 of 15 is equal to 25/3 (or 8.3333333333333 in its decimal form).