To express the ratio of 20 inches to 3 feet in fractional notation, we first need to convert feet to inches. Since 1 foot equals 12 inches:
3 feet = 3 × 12 inches = 36 inches.
Now, we can write the ratio of 20 inches to 36 inches:
\[ \text{Ratio} = \frac{20 \text{ inches}}{36 \text{ inches}} = \frac{20}{36}. \]
Next, we simplify the fraction \(\frac{20}{36}\):
- Find the greatest common divisor (GCD) of 20 and 36, which is 4.
- Divide both the numerator and the denominator by 4:
\[ \frac{20 \div 4}{36 \div 4} = \frac{5}{9}. \]
Thus, the simplified ratio of 20 inches to 3 feet is:
\(\frac{5}{9}\).
So, the correct response is:
5/9.