What is 9/6 of 74?

How to calculate 9/6 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 9 = 666
2. Divide this result by denominator of the fraction: 666/6 = 111
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 666/6 = 111
   • 6/6 = 1
4. Which gives: 111/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{74}$ (where x represents 9/6 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 74=6x$
2. Which gives: $666=6x$
3. Divide both sides by 6 to isolate x: $\frac{666}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{666}{6}=x$ (or $\frac{111}{1}=x$)

Thus, 9/6 of 74 is equal to 111/1 (or 111 in its decimal form).