What is 9/6 of 40?

How to calculate 9/6 of 40?

1. Multiply the whole number by the numerator of the fraction: 40 × 9 = 360
2. Divide this result by denominator of the fraction: 360/6 = 60
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 360/6 = 60
   • 6/6 = 1
4. Which gives: 60/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 40, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{40}$ (where x represents 9/6 of 40)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 40=6x$
2. Which gives: $360=6x$
3. Divide both sides by 6 to isolate x: $\frac{360}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{360}{6}=x$ (or $\frac{60}{1}=x$)

Thus, 9/6 of 40 is equal to 60/1 (or 60 in its decimal form).