When Jasmine started jogging, she ran 3/4 mile on the first day, 1 1/8 mile on the second day, and 1 1/2 mile on the third day. If she increased the distance she jogged each day by the same amount, how far did she jog on the fifth day?

The answer to your question is 2 1/4

Step-by-step explanation:

Data

First day = 3/4

Second day = 1 1/8

Third day = 1 1/2

Process

1. - Find the difference between the distances

1 1/8 - 3/4 = (8 + 1) / 8 - 3/4

= 9/8 - 3/4

= (9 - 6) / 8

= 3/8

1 1/2 - 1 1/8 = (2 + 1) / 2 - (8 + 1) / 8

= 3/2 + 9/8

= (12 + 9) / 8

= 3/8

2. - Find the distance she ran the fifth day

5th = 1 1/2 + 3/8 + 3/8

= 3/2 + 3/8 + 3/8

= 12/8 + 3/8 + 3/8

= 18/8

= 9/4

= 2 1/4