To express the ratio of 20 inches to 3 feet in fractional notation and simplify it, we first need to convert feet to inches.
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Convert 3 feet to inches: \[ 3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches} \]
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Now we can express the ratio of 20 inches to 36 inches: \[ \text{Ratio} = \frac{20 \text{ inches}}{36 \text{ inches}} \]
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Next, we simplify the fraction: \[ \frac{20}{36} = \frac{5}{9} \quad (\text{dividing both the numerator and denominator by 4}) \]
Thus, the simplified ratio of 20 inches to 3 feet is: \[ \frac{5}{9} \]
The correct response is:
59 Start fraction 5 over 9 end fraction