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

320
Start fraction 3 over 20 end fraction

203
Start fraction 20 over 3 end fraction

95
Start fraction 9 over 5 end fraction

5/9

1 answer

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

3 feet = 3 × 12 inches = 36 inches.

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

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

Next, we simplify the fraction \(\frac{20}{36}\):

  1. Find the greatest common divisor (GCD) of 20 and 36, which is 4.
  2. Divide both the numerator and the denominator by 4:

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

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

\(\frac{5}{9}\).

So, the correct response is:

5/9.