Question

There are 1000 meters in one kilometer. The distance from home to the grocery store is 1.8 kilometers. The distance from home to the gas station is 2200 meters. Write a ratio comparing the distance from home to the gas station to the distance from home to the grocery store. Give your answer as a fraction in simplest form.

Answer 1

11/9

Explanation:

To write a ratio comparing the distance from home to the gas station to the distance from home to the grocery store, we simply divide the two distances.

Distance to gas station = 2200 meters

Distance to grocery store = 1.8 kilometers = 1.8 * 1000 meters = 1800 meters

Ratio = Distance to gas station / Distance to grocery store

Ratio = 2200 meters / 1800 meters

Now, let's simplify the fraction:

Ratio = 2200 / 1800

To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD.

The GCD of 2200 and 1800 is 200.

Ratio = 2200 / 1800

Ratio (simplified) = (2200 ÷ 200) / (1800 ÷ 200)

Ratio (simplified) = 11 / 9

So, the simplified ratio of the distance from home to the gas station to the distance from home to the grocery store is 11/9.