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
Start fraction 3 over 20 end fraction

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To express the ratio of 20 inches to 3 feet using fractional notation, we first need to convert feet into inches.

1 foot is equal to 12 inches, so 3 feet can be calculated as follows:

3 feet = 3 × 12 inches = 36 inches

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

\[
\frac{20}{36}
\]

Next, we simplify this fraction. To do this, we find the greatest common divisor (GCD) of 20 and 36. The GCD of 20 and 36 is 4.

Now, we divide both the numerator and the denominator by their GCD:

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

So the simplified ratio is:

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

Thus, the correct response is:

**59 Start fraction 5 over 9 end fraction**.