Question

Renee hiked for 4 3/4 miles. After resting, Renee hiked back along the same route for 3 1/4 miles. How many more miles does Renee need to hike to return to return to the place?

Answer 1

4 3/4 - 3 1/4 = 1 2/4, which is 1 1/2 OR 1.5

Answer 2

Let

x--------> the distance in miles that Renee need to hike to return to the place

we know that

`x=4(3)/(4)-3(1)/(4)` --------> equation
`1`

Step
`1`

convert mixed number to an improper fraction

`4(3)/(4)\ miles=(4*4+3)/(4) =(19)/(4)\ miles`

`3(1)/(4)\ miles=(3*4+1)/(4) =(13)/(4)\ miles`

Step
`2`

Substitute the values in the equation
`1` and find the value of x

`x=(19)/(4)-(13)/(4)`

`x=(6)/(4)=(3)/(2)=1.5\ miles`

therefore

the answer is

`1.5\ miles`