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

5/9
5 ninths

20/3
20 thirds

3/20
3 over 20

9/5

Answer 1

To write the ratio of 20 inches to 3 feet in fractional notation, we first need to convert 3 feet into inches. Since 1 foot equals 12 inches, we calculate:

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

Now, we can express the ratio of 20 inches to 36 inches as a fraction:

\[
\frac{20 \, \text{inches}}{36 \, \text{inches}}
\]

Next, we simplify the fraction:

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

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

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

The correct response is:

**5/9**
**5 ninths**