What is 9/6 of 85?

How to calculate 9/6 of 85?

1. Multiply the whole number by the numerator of the fraction: 85 × 9 = 765
2. Divide this result by denominator of the fraction: 765/6 = 127.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 765/3 = 255
   • 6/3 = 2
4. Which gives: 255/2

Since 255/2 is an improper fraction, the result could also be expressed as a mixed number: 127 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 85, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{85}$ (where x represents 9/6 of 85)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 85=6x$
2. Which gives: $765=6x$
3. Divide both sides by 6 to isolate x: $\frac{765}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{765}{6}=x$ (or $\frac{255}{2}=x$)

Thus, 9/6 of 85 is equal to 255/2 (or 127.5 in its decimal form).