A161216\dfrac12 16 2 1 ? kilometer stretch of road needs repairs. workers can repair 2142\dfrac14 2 4 1 ? kilometer of road per week. how many weeks will it take to repair this stretch of road?

weeks.

Step-by-step explanation:

We have been given that a kilometer stretch of road needs repairs. Workers can repair kilometer of road per week.

To find the number of weeks it will take to repair the stretch of road we will divide total length of the stretch by part of the road repaired by workers in one week.

Upon converting our mixed fractions into improper fractions we will get,

Since dividing one fraction by another fraction is same as multiplying the 1st fraction by the reciprocal of 2nd fraction.

Upon cancelling out GCF of our numerator and denominator we will get,

Therefore, it will take weeks to repair the stretch of road.