To express the ratio 20 inches to 3 feet using fractional notation, we first need to convert 3 feet into inches. Since 1 foot = 12 inches, we can calculate the number of inches in 3 feet:
\[ 3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches} \]
Now we can write the ratio as:
\[ \frac{20 \text{ inches}}{36 \text{ inches}} \]
Next, we simplify this fraction:
\[ \frac{20}{36} = \frac{5}{9} \text{ (dividing both the numerator and denominator by their greatest common divisor, which is 4)} \]
Thus, the simplified ratio of 20 inches to 3 feet is:
\[ \frac{5}{9} \]
Among the answer choices provided, it appears that the closest response is:
59 Start fraction 5 over 9 end fraction.