What is 3/9 of 6?

How to calculate 3/9 of 6?

1. Multiply the whole number by the numerator of the fraction: 6 × 3 = 18
2. Divide this result by denominator of the fraction: 18/9 = 2
3. Simplify by dividing both the numerator and denominator by their GCD (9):
   • 18/9 = 2
   • 9/9 = 1
4. Which gives: 2/1

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 6, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{6}$ (where x represents 3/9 of 6)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 6=9x$
2. Which gives: $18=9x$
3. Divide both sides by 9 to isolate x: $\frac{18}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{18}{9}=x$ (or $\frac{2}{1}=x$)

Thus, 3/9 of 6 is equal to 2/1 (or 2 in its decimal form).