What is 8/2 of 17?

How to calculate 8/2 of 17?

1. Multiply the whole number by the numerator of the fraction: 17 × 8 = 136
2. Divide this result by denominator of the fraction: 136/2 = 68
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 136/2 = 68
   • 2/2 = 1
4. Which gives: 68/1

How does it work?

The principle behind finding a fraction of a number, such as 8/2 of 17, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{2}=\frac{x}{17}$ (where x represents 8/2 of 17)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 17=2x$
2. Which gives: $136=2x$
3. Divide both sides by 2 to isolate x: $\frac{136}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{136}{2}=x$ (or $\frac{68}{1}=x$)

Thus, 8/2 of 17 is equal to 68/1 (or 68 in its decimal form).