Question
Graphing Linear Equations Online Practice
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Question
Write the ratio 20 inches to 3 feet using fractional notation. Simplify the fraction to lowest terms. Use 1 foot = 12 inches to first write feet as inches.(1 point)
Responses
203
Start fraction 20 over 3 end fraction
320
Start fraction 3 over 20 end fraction
95
Start fraction 9 over 5 end fraction
59
Answers
GPT-4o mini
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.
\[
3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches}
\]
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.