What is 8/6 of 34?

How to calculate 8/6 of 34?

1. Multiply the whole number by the numerator of the fraction: 34 × 8 = 272
2. Divide this result by denominator of the fraction: 272/6 = 45.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 272/2 = 136
   • 6/2 = 3
4. Which gives: 136/3

Since 136/3 is an improper fraction, the result could also be expressed as a mixed number: 45 1/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{34}$ (where x represents 8/6 of 34)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 34=6x$
2. Which gives: $272=6x$
3. Divide both sides by 6 to isolate x: $\frac{272}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{272}{6}=x$ (or $\frac{136}{3}=x$)

Thus, 8/6 of 34 is equal to 136/3 (or 45.333333333333 in its decimal form).