​​ 13, start fraction, 1, divided by, 2, end fraction mile stretch of road needs repairs. Workers can repair

​​ 2, start fraction, 1, divided by, 4, end fraction miles of road per week.

How many weeks will it take to repair this stretch of road?

Respuesta :

Answers six weeks. divide 13.5 miles of road needing repairs by the rate of 2.25 miles of road per week to obtain 6 weeks. If you are not familiar with converting fractions to decimals and using a calculator, multiply 2 by 13 and add 1 to obtain the stretch of road needing repairs as 27/2 miles and the road repair rate as 2 times 4 plus 1 divided by 4 = 9/4 miles per week divide 27/2 miles by 9/4 miles per week to obtain 6 weeks [ 27/2 times 4/9 ]
Alright so we are given 13 and [tex] \frac{1}{2} [/tex]  as well as 2 and [tex] \frac{1}{4} [/tex]

So what we want to do is divide the two. One half is equivalent 0.50 and one-fourth is equivalent to 0.25 so lets solve!

13.5 divided by 2.25 = 6 (weeks)