There are 66 empty parking spots and 32 full parking spots in the parking garage. What is the ratio of the number of empty parking spots to the total number of parking spots?

1 answer

To find the ratio of the number of empty parking spots to the total number of parking spots, we first need to determine the total number of parking spots.

We have:

  • Number of empty parking spots = 66
  • Number of full parking spots = 32

Total parking spots = Number of empty parking spots + Number of full parking spots Total parking spots = 66 + 32 = 98

Now, we can find the ratio of the number of empty parking spots to the total number of parking spots:

\[ \text{Ratio} = \frac{\text{Number of empty parking spots}}{\text{Total number of parking spots}} = \frac{66}{98} \]

Next, we simplify this fraction. We can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 66 and 98 is 2.

\[ \frac{66 \div 2}{98 \div 2} = \frac{33}{49} \]

Thus, the ratio of the number of empty parking spots to the total number of parking spots is:

\[ \frac{33}{49} \]