Question

Clara visits the aquarium while on vacation.The aquarium is 2 1/2 miles from her hotel. She wals 1/4 mile to the bus stop,takes the bus for 1 2/4 miles and walks the rest of the way to the aquarium

Answer 1

She walked 1/2 or 0.5 miles.

Answer 2

When she left the bus, she walked
`(3)/(4)` miles to the aquarium.

Explanation:

The question is incomplete. ''When she left the bus,how much did she walk to the aquarium ?'' is the missing question.

We know that the aquarium is
`(2)(1)/(2)` miles from her hotel.

We also know that she walked
`(1)/(4)` mile to the bus stop and took the bus for
`(1)(2)/(4)` miles

In order to find the miles that she walked after the bus we can write the following equation :

`(1)/(4)+(1)(2)/(4)+x=(2)(1)/(2)` (I)

Where ''x'' represents the miles that she walked.

In order to solve this equation we can do the following replacement.

We can replace the numbers by fractions with a number 4 in its denominators (To realize operations properly).

For example :

`1((2)/(4))=1+(2)/(4)=((4)/(4))+((2)/(4))=(6)/(4)` (II)

`(2)(1)/(2)=2+((1)/(2))=(8)/(4)+(2)/(4)=(10)/(4)` (III)

Replacing (II) and (III) in (I) :

`(1)/(4)+(6)/(4)+x=(10)/(4)`

`x=(10)/(4)-(1)/(4)-(6)/(4)=(3)/(4)`

`x=(3)/(4)` miles

We find that Clara walked
`(3)/(4)` miles when she left the bus.