What is 3/9 of 83?

How to calculate 3/9 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 3 = 249
2. Divide this result by denominator of the fraction: 249/9 = 27.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 249/3 = 83
   • 9/3 = 3
4. Which gives: 83/3

Since 83/3 is an improper fraction, the result could also be expressed as a mixed number: 27 2/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{83}$ (where x represents 3/9 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 83=9x$
2. Which gives: $249=9x$
3. Divide both sides by 9 to isolate x: $\frac{249}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{249}{9}=x$ (or $\frac{83}{3}=x$)

Thus, 3/9 of 83 is equal to 83/3 (or 27.666666666667 in its decimal form).