What is 9/6 of 57?

How to calculate 9/6 of 57?

1. Multiply the whole number by the numerator of the fraction: 57 × 9 = 513
2. Divide this result by denominator of the fraction: 513/6 = 85.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 513/3 = 171
   • 6/3 = 2
4. Which gives: 171/2

Since 171/2 is an improper fraction, the result could also be expressed as a mixed number: 85 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 57, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{57}$ (where x represents 9/6 of 57)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 57=6x$
2. Which gives: $513=6x$
3. Divide both sides by 6 to isolate x: $\frac{513}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{513}{6}=x$ (or $\frac{171}{2}=x$)

Thus, 9/6 of 57 is equal to 171/2 (or 85.5 in its decimal form).