Question

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

95
Start fraction 9 over 5 end fraction

320
Start fraction 3 over 20 end fraction

203
Start fraction 20 over 3 end fraction

59

Answer 1

First, we need to convert 3 feet into inches. Given that 1 foot = 12 inches, we can calculate:

\[
3 \text{ feet} = 3 \times 12 = 36 \text{ inches}
\]

Now we can express the ratio of 20 inches to 36 inches in fractional notation:

\[
\text{Ratio} = \frac{20 \text{ inches}}{36 \text{ inches}} = \frac{20}{36}
\]

Next, we simplify the fraction \(\frac{20}{36}\) by finding the greatest common divisor (GCD) of 20 and 36, which is 4.

Now we divide both the numerator and the denominator by 4:

\[
\frac{20 \div 4}{36 \div 4} = \frac{5}{9}
\]

Thus, the simplified fraction in lowest terms is:

\[
\frac{5}{9}
\]

Since \( \frac{5}{9} \) is not in the provided options, and looking at the expressed responses:

- 95 => \(\frac{9}{5}\)
- 320 => \(\frac{3}{20}\)
- 203 => \(\frac{20}{3}\)
- 59 => \(\frac{5}{9}\)

The correct answer based on our calculation is:
\(\frac{5}{9}\).