Good Evening Ms SUE,

Frankly I tried the below some as you said but still I am not getting the answer still i am getting the same answer as option A. 2 1/6 n I know this is wrong Mam if you don't mind can you check n tell where i am wrong and correct me please. Thank You
It takes Kasey 1 2/3 hours to bike the Woodlawn Trail. It takes her 3 5/6 hours to bike the Hammerside Trail. How many times as long does it take Kasey to bike the Hammerside Trail than the Woodlawn Trail ?

A. 2 1/6
B. 2 3/10
C. 2 1/3
D. 5 1/2

I am doing like this below

I did 1 2/3 3 5/6

3 5/6
- 1 4/6
_____________
2 1/6

I don't understand where i am wrong please explain me mam
Thank You
____________

Don't subtract. Divide.

1 2/3 = 5/3
3 5/6 = 23/6

(23/6) / (5/3)

(23/6) * (3/5) = 69/30 = 2 9/30 = 2 3/10

Thank you Ms Sue I really appreciated . Today i am very happy , now I understood what mistake I was doing all these days I was having sleepless night n was thinking how to solve, thanks a lot for your beautiful and kind help.

thanks once again.

You're very welcome, Goutham.

Good Evening,

I can help you with the problem you are facing. Let's go through the steps together to find the solution.

You correctly subtracted 1 2/3 hours from 3 5/6 hours. However, let's take a closer look at the subtraction.

When subtracting fractions, you need to make sure the denominators are the same. In this case, the denominators are 3 and 6. To subtract the fractions, you need a common denominator.

Let's convert the fractions to have a common denominator of 6:

1 2/3 = 1 * (6/3) + 2/3 = 6/3 + 2/3 = 8/3
3 5/6 = 3 * (6/6) + 5/6 = 18/6 + 5/6 = 23/6

Now, let's subtract:

23/6 - 8/3

To subtract fractions, you need to have the same denominator. Since 3 divides evenly into 6, we can multiply the numerator and denominator of 8/3 by 2:

23/6 - (8 * 2)/(3 * 2)
= 23/6 - 16/6
= 7/6

Therefore, the correct answer is 7/6, which can be written as the mixed number 1 1/6.

So, the answer to the question "How many times as long does it take Kasey to bike the Hammerside Trail than the Woodlawn Trail?" is 1 1/6.

I hope this clears up the confusion. If you have any further questions, feel free to ask!