What is 9/6 of 83?

How to calculate 9/6 of 83?

1. Multiply the whole number by the numerator of the fraction: 83 × 9 = 747
2. Divide this result by denominator of the fraction: 747/6 = 124.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 747/3 = 249
   • 6/3 = 2
4. Which gives: 249/2

Since 249/2 is an improper fraction, the result could also be expressed as a mixed number: 124 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{83}$ (where x represents 9/6 of 83)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 83=6x$
2. Which gives: $747=6x$
3. Divide both sides by 6 to isolate x: $\frac{747}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{747}{6}=x$ (or $\frac{249}{2}=x$)

Thus, 9/6 of 83 is equal to 249/2 (or 124.5 in its decimal form).