Need help finishing the math question

Question

On Monday, Ryan jogged 1 ½ miles in ¼ hour. On Wednesday he jogged 2 1/3 miles in 1/3 hour. How much farther did Ryan jog on Wednesday than on Monday? Write your answer as a simplified fraction.

I know Ryan jogged in 3/2 miles in 1/3 minutes and on Wednesday 7/3 miles in 1/3 minutes.  But I cant figure out  How much farther did Ryan jog on Wednesday than on Monday?

Answer 1

Since we are only being asked to determine how much farther he ran, we can ignore the time altogether.

What we are left with is simply a subtraction of fractions...

1 1

2 ---- - 1 ----

3 2

First we need to convert the mixed numbers into improper fractions.

6 2

Since 2 can be written as --- and 1 can be written as ----- we get...

3 2

7 3

---- - ---

3 2

Now we need to find a common denominator...

14 9 5

---- - ----- = ----

6 6 6