Question

Carlos lives 5 3/8 blocks from a restaurant. The ball field is 7 1 /4 blocks away in the same direction. Carlos plans to go to the restaurant to​ eat, and then go to the ball field. After he​ eats, how much farther will he have to walk to get to the ball field​?

Answer 1

`(15)/(8)=1(7)/(8)\ \text{blocks}`

Explanation:

Distance to the restaurant from Carlos is
`5(3)/(8)=(43)/(8)\ \text{blocks}`

Distance of the ball field from Carlos' home is
`7(1)/(4)=(29)/(4)\ \text{blocks}`

He first goes to the restaurant so he covers a distance of
`(43)/(8)\ \text{blocks}`.

Now the distance from the restaurant to the ball field is

`(29)/(4)-(43)/(8)\\ =(58-43)/(8)\\ =(15)/(8)=1(7)/(8)\ \text{blocks}`.

So, Carlos would have to walk
`1(7)/(8)\ \text{blocks}` farther to get to the ball field.