In a charity swim,Jim swam 1200m and Sue 2km. What is the ration of Jim's distance to Sue's? give the ration in the simplest form.
jim swam 1200 m
Sue swam 2000 m
jim : sue = 1200 : 2000 = 12 : 20 = 3 : 5
thank you so much!
To find the ratio of Jim's distance to Sue's distance, we need to divide Jim's distance by Sue's distance.
Jim's distance is 1200m and Sue's distance is 2km. We need to convert Sue's distance to meters, as both distances need to be in the same unit for the ratio calculation.
1 kilometer (km) is equal to 1000 meters (m). So, Sue's distance of 2km is equal to 2 * 1000 = 2000m.
Now we can calculate the ratio of Jim's distance to Sue's distance:
Ratio = Jim's distance / Sue's distance
Ratio = 1200m / 2000m
To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 1200 and 2000 is 400. So, we can simplify the ratio as follows:
Ratio = 1200m / 2000m
Ratio = 1200 / 400 / 2000 / 400
Ratio = 3 / 5
Therefore, the ratio of Jim's distance to Sue's distance is 3:5.