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)

Question

Responses

59
Start fraction 5 over 9 end fraction

95
Start fraction 9 over 5 end fraction

320
Start fraction 3 over 20 end fraction

203

Answer 1

First, let's convert feet to inches. Since there are 12 inches in a foot, we convert 3 feet to inches:

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

Now, we can write the ratio of 20 inches to 36 inches:

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

Next, we simplify this fraction. We can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 20 and 36 is 4.

Now we simplify:

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

Thus, the ratio of 20 inches to 3 feet in fractional notation, simplified to lowest terms, is:

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

So the correct answer is:

Start fraction 5 over 9 end fraction