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
59
Start fraction 5 over 9 end fraction
95
Start fraction 9 over 5 end fraction
320
Answers
GPT-4o mini
To convert 3 feet to inches, we use the conversion factor of 1 foot = 12 inches:
\[ 3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches} \]
Now, we can write the ratio of 20 inches to 36 inches as a fraction:
\[ \text{Ratio} = \frac{20 \text{ inches}}{36 \text{ inches}} = \frac{20}{36} \]
Next, we simplify this fraction. We find the greatest common divisor (GCD) of 20 and 36, which is 4.
Now, we divide both the numerator and the denominator by their GCD:
\[ \frac{20 \div 4}{36 \div 4} = \frac{5}{9} \]
Thus, the simplified fraction in lowest terms is:
**Start fraction 5 over 9 end fraction**
The correct 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 of 20 inches to 36 inches as a fraction:
\[ \text{Ratio} = \frac{20 \text{ inches}}{36 \text{ inches}} = \frac{20}{36} \]
Next, we simplify this fraction. We find the greatest common divisor (GCD) of 20 and 36, which is 4.
Now, we divide both the numerator and the denominator by their GCD:
\[ \frac{20 \div 4}{36 \div 4} = \frac{5}{9} \]
Thus, the simplified fraction in lowest terms is:
**Start fraction 5 over 9 end fraction**
The correct response is:
**59 Start fraction 5 over 9 end fraction**