What is 3/6 of 9?

How to calculate 3/6 of 9?

1. Multiply the whole number by the numerator of the fraction: 9 × 3 = 27
2. Divide this result by denominator of the fraction: 27/6 = 4.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 27/3 = 9
   • 6/3 = 2
4. Which gives: 9/2

Since 9/2 is an improper fraction, the result could also be expressed as a mixed number: 4 1/2

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 9=6x$
2. Which gives: $27=6x$
3. Divide both sides by 6 to isolate x: $\frac{27}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{27}{6}=x$ (or $\frac{9}{2}=x$)

Thus, 3/6 of 9 is equal to 9/2 (or 4.5 in its decimal form).