What is 3/9 of 55?

How to calculate 3/9 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 3 = 165
2. Divide this result by denominator of the fraction: 165/9 = 18.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 165/3 = 55
   • 9/3 = 3
4. Which gives: 55/3

Since 55/3 is an improper fraction, the result could also be expressed as a mixed number: 18 1/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{55}$ (where x represents 3/9 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 55=9x$
2. Which gives: $165=9x$
3. Divide both sides by 9 to isolate x: $\frac{165}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{165}{9}=x$ (or $\frac{55}{3}=x$)

Thus, 3/9 of 55 is equal to 55/3 (or 18.333333333333 in its decimal form).