First, we need to convert 3 feet into inches. Given that 1 foot = 12 inches, we can calculate:
\[ 3 \text{ feet} = 3 \times 12 = 36 \text{ inches} \]
Now we can express the ratio of 20 inches to 36 inches in fractional notation:
\[ \text{Ratio} = \frac{20 \text{ inches}}{36 \text{ inches}} = \frac{20}{36} \]
Next, we simplify the fraction \(\frac{20}{36}\) by finding the greatest common divisor (GCD) of 20 and 36, which is 4.
Now we divide both the numerator and the denominator by 4:
\[ \frac{20 \div 4}{36 \div 4} = \frac{5}{9} \]
Thus, the simplified fraction in lowest terms is:
\[ \frac{5}{9} \]
Since \( \frac{5}{9} \) is not in the provided options, and looking at the expressed responses:
- 95 => \(\frac{9}{5}\)
- 320 => \(\frac{3}{20}\)
- 203 => \(\frac{20}{3}\)
- 59 => \(\frac{5}{9}\)
The correct answer based on our calculation is: \(\frac{5}{9}\).