What is 9/6 of 92?

How to calculate 9/6 of 92?

1. Multiply the whole number by the numerator of the fraction: 92 × 9 = 828
2. Divide this result by denominator of the fraction: 828/6 = 138
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 828/6 = 138
   • 6/6 = 1
4. Which gives: 138/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 92, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{92}$ (where x represents 9/6 of 92)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 92=6x$
2. Which gives: $828=6x$
3. Divide both sides by 6 to isolate x: $\frac{828}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{828}{6}=x$ (or $\frac{138}{1}=x$)

Thus, 9/6 of 92 is equal to 138/1 (or 138 in its decimal form).