Question

One morning Nick walks 1/4 mile from home zoo.He walks around the zoo and covers 9/10 mile before walking back home . How many miles does Nick walk that morning?

Answer 1

`1(2)/(5)miles`

Explanations:

Given the following parameters from the question:

Distance walked by Nick from home zoo = 1/4 mile

Distance covered around the zoo = 9/10 miles

In order to get the total distance covered by Nick that morning, we will take the sum of the distances including the distance he walked back home as shown:

`\text{Total distance walked=}(1)/(4)+(9)/(10)+(1)/(4)`

Fins the Least common denominator

`\begin{gathered} \text{Total distance walked=}(5(1)+2(9)+5(1))/(20) \\ \text{Total distance walked}=(5+18+5)/(20) \\ \text{Total distance walked}=(28)/(20)\text{miles} \end{gathered}`

Note that I have to add another 1/4 miles since he will also walk back home at the same distance he walked to the zoo

Expressing the total distance as a mixed fraction

`\begin{gathered} \text{Total distance walked=1}\frac{\cancel{8}2}{\cancel{20}5} \\ \text{Total distance walked}=1(2)/(5)miles \end{gathered}`

This shows that Nick walked 1 2/5 miles that morning