What is 8/6 of 26?

How to calculate 8/6 of 26?

1. Multiply the whole number by the numerator of the fraction: 26 × 8 = 208
2. Divide this result by denominator of the fraction: 208/6 = 34.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 208/2 = 104
   • 6/2 = 3
4. Which gives: 104/3

Since 104/3 is an improper fraction, the result could also be expressed as a mixed number: 34 2/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{26}$ (where x represents 8/6 of 26)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 26=6x$
2. Which gives: $208=6x$
3. Divide both sides by 6 to isolate x: $\frac{208}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{208}{6}=x$ (or $\frac{104}{3}=x$)

Thus, 8/6 of 26 is equal to 104/3 (or 34.666666666667 in its decimal form).