To write the ratio of 20 inches to 3 feet using fractional notation, we first need to convert 3 feet to inches.
1 foot = 12 inches, so: 3 feet = 3 * 12 = 36 inches.
Now we can write the ratio of 20 inches to 36 inches as:
\[ \frac{20}{36} \]
Next, we simplify this fraction by finding the greatest common divisor (GCD) of 20 and 36. The GCD of 20 and 36 is 4.
Now we divide both the numerator and the denominator by their GCD:
\[ \frac{20 \div 4}{36 \div 4} = \frac{5}{9} \]
Therefore, the ratio of 20 inches to 3 feet in simplified fractional notation is:
\[ \frac{5}{9} \]
The correct response is:
Start fraction 5 over 9 end fraction.
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