What is 9/6 of 55?

How to calculate 9/6 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 9 = 495
2. Divide this result by denominator of the fraction: 495/6 = 82.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 495/3 = 165
   • 6/3 = 2
4. Which gives: 165/2

Since 165/2 is an improper fraction, the result could also be expressed as a mixed number: 82 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{55}$ (where x represents 9/6 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 55=6x$
2. Which gives: $495=6x$
3. Divide both sides by 6 to isolate x: $\frac{495}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{495}{6}=x$ (or $\frac{165}{2}=x$)

Thus, 9/6 of 55 is equal to 165/2 (or 82.5 in its decimal form).