Question

Arnie skated 1 3/4 miles from home to the lake. He stated 1 1/3 miles around the lake and then skate it back home. How many miles to the he skate in all?

Answer 1

`4(5)/(6)=4.833` miles.

Explanation:

We have been given that Arnie skated 1 3/4 miles from home to the lake. He skated 1 1/3 miles around the lake and then skate it back home.

To find the total miles that Arnie skate in all we will add all distances covered by Arnie while skating.

`\text{The total number of miles skated by Arnie}=1(3)/(4) +1(1)/(3)+ 1(3)/(4)`

Upon converting our mixed fractions into improper fractions we will get,

`\text{The total number of miles skated by Arnie}=(7)/(4) +(4)/(3)+ (7)/(4)`

`\text{The total number of miles skated by Arnie}=(14)/(4) +(4)/(3)`

Now let us have a common denominator,

`\text{The total number of miles skated by Arnie}=(3*14)/(3*4) +(4*4)/(4*3)`

`\text{The total number of miles skated by Arnie}=(42)/(12) +(16)/(12)`

`\text{The total number of miles skated by Arnie}=(42+16)/(12)`

`\text{The total number of miles skated by Arnie}=(58)/(12)`

`\text{The total number of miles skated by Arnie}=4(10)/(12)`

`\text{The total number of miles skated by Arnie}=4(5)/(6)=4.833`

Therefore, Arnie skated
`4(5)/(6)=4.833` miles in all.