What is 9/6 of 76?

How to calculate 9/6 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 9 = 684
2. Divide this result by denominator of the fraction: 684/6 = 114
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 684/6 = 114
   • 6/6 = 1
4. Which gives: 114/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{76}$ (where x represents 9/6 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 76=6x$
2. Which gives: $684=6x$
3. Divide both sides by 6 to isolate x: $\frac{684}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{684}{6}=x$ (or $\frac{114}{1}=x$)

Thus, 9/6 of 76 is equal to 114/1 (or 114 in its decimal form).