What is 3/9 of 34?

How to calculate 3/9 of 34?

1. Multiply the whole number by the numerator of the fraction: 34 × 3 = 102
2. Divide this result by denominator of the fraction: 102/9 = 11.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 102/3 = 34
   • 9/3 = 3
4. Which gives: 34/3

Since 34/3 is an improper fraction, the result could also be expressed as a mixed number: 11 1/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{34}$ (where x represents 3/9 of 34)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 34=9x$
2. Which gives: $102=9x$
3. Divide both sides by 9 to isolate x: $\frac{102}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{102}{9}=x$ (or $\frac{34}{3}=x$)

Thus, 3/9 of 34 is equal to 34/3 (or 11.333333333333 in its decimal form).