What is 9/6 of 19?

How to calculate 9/6 of 19?

1. Multiply the whole number by the numerator of the fraction: 19 × 9 = 171
2. Divide this result by denominator of the fraction: 171/6 = 28.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 171/3 = 57
   • 6/3 = 2
4. Which gives: 57/2

Since 57/2 is an improper fraction, the result could also be expressed as a mixed number: 28 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 19, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{19}$ (where x represents 9/6 of 19)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 19=6x$
2. Which gives: $171=6x$
3. Divide both sides by 6 to isolate x: $\frac{171}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{171}{6}=x$ (or $\frac{57}{2}=x$)

Thus, 9/6 of 19 is equal to 57/2 (or 28.5 in its decimal form).