Question

write the comparison 27 dollars to 81 dollars as a ratio in simplest form using a fraction.
\\(\frac{27}{81}\\)
\\(\frac{81}{27}\\)
\\(\frac{1}{3}\\)
\\(\frac{3}{9}\\)

Explanation:

Step1: Write the ratio as a fraction

The ratio of 27 dollars to 81 dollars is written as $\frac{27}{81}$.

Step2: Simplify the fraction

To simplify $\frac{27}{81}$, we find the greatest common divisor (GCD) of 27 and 81, which is 27. Then we divide both the numerator and the denominator by 27: $\frac{27\div27}{81\div27}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$ (corresponding to the option with $\frac{1}{3}$)