What is 8/6 of 19?

How to calculate 8/6 of 19?

1. Multiply the whole number by the numerator of the fraction: 19 × 8 = 152
2. Divide this result by denominator of the fraction: 152/6 = 25.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 152/2 = 76
   • 6/2 = 3
4. Which gives: 76/3

Since 76/3 is an improper fraction, the result could also be expressed as a mixed number: 25 1/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 19, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{19}$ (where x represents 8/6 of 19)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 19=6x$
2. Which gives: $152=6x$
3. Divide both sides by 6 to isolate x: $\frac{152}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{152}{6}=x$ (or $\frac{76}{3}=x$)

Thus, 8/6 of 19 is equal to 76/3 (or 25.333333333333 in its decimal form).