What is 9/6 of 31?

How to calculate 9/6 of 31?

1. Multiply the whole number by the numerator of the fraction: 31 × 9 = 279
2. Divide this result by denominator of the fraction: 279/6 = 46.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 279/3 = 93
   • 6/3 = 2
4. Which gives: 93/2

Since 93/2 is an improper fraction, the result could also be expressed as a mixed number: 46 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{31}$ (where x represents 9/6 of 31)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 31=6x$
2. Which gives: $279=6x$
3. Divide both sides by 6 to isolate x: $\frac{279}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{279}{6}=x$ (or $\frac{93}{2}=x$)

Thus, 9/6 of 31 is equal to 93/2 (or 46.5 in its decimal form).