What is 6/9 of 55?

How to calculate 6/9 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 6 = 330
2. Divide this result by denominator of the fraction: 330/9 = 36.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 330/3 = 110
   • 9/3 = 3
4. Which gives: 110/3

Since 110/3 is an improper fraction, the result could also be expressed as a mixed number: 36 2/3

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 55=9x$
2. Which gives: $330=9x$
3. Divide both sides by 9 to isolate x: $\frac{330}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{330}{9}=x$ (or $\frac{110}{3}=x$)

Thus, 6/9 of 55 is equal to 110/3 (or 36.666666666667 in its decimal form).