Question

You go for a walk around a lake .You walk 1/5 of a mile and then sit down to take a rest. Then,you walk an additional 2/3 of a mile. How far did you walk? Show your work

Answer 1

I walk a distance of
`(13)/(10) \ miles`.

Explanation:

Given:

Distance I walk at first =
`(1)/(5) \ mile`

Distance I walk later =
`(2)/(3) \ mile`

We need to find the total distance i walked.

Now total distance I walked is equal to sum of Distance I walk at first and Distance I walk at later.

framing in equation form we get;

total distance I walked =
`(1)/(5)+(2)/(3)`

By taking LCM to make the denominator common we get;

total distance I walked =
`(1*3)/(5*3)+(2*5)/(3*5)= (3)/(15)+(10)/(15)= (3+10)/(15) =(13)/(10) \ miles`

Hence I walk a distance of
`(13)/(10) \ miles`.