Elizabeth rode her bike 6 1/2 Miles from her house to the library and then another 2 2/5 miles to her friend Millo's house. If Carson's house is 2 1/2 miles beyond Millo's house, how far would she travel from her house to Carsons house?

Answer :

11 and 2/5 Miles because 6.5+2.5= 9 miles plus 2 and 2/5 is 11.4 miles

Answer:

She would travel 11 2/5 miles

Step-by-step explanation:

The distance between Elizabeth's house and Carson's house is the sum of the distance between Elizabeth's house and Library, the distance between the library and Millo's house and the distance between Millo's House and Carson's House. That is:

Total Miles = 6 1/2 + 2 2/5 + 2 1/2

For make this sum, we need to transform the mixed numbers into fractions. We can do that as:

[tex]6\frac{1}{2} = \frac{(6*2)+1}{2} =\frac{13}{2}[/tex]

[tex]2\frac{2}{5} = \frac{(2*5)+2}{5} =\frac{12}{5}[/tex]

[tex]2\frac{1}{2} = \frac{(2*2)+1}{2} =\frac{5}{2}[/tex]

So, the travel from Elizabeth's house to Carson's House has 57/5 miles and it is calculated as:

[tex]\frac{13}{2} +\frac{12}{5} +\frac{5}{2} =\frac{57}{5}[/tex]

Then, if we transform 57/5 into a mixed number, we get:

[tex]\frac{57}{5} =11\frac{2}{5}[/tex]

Finally, she would travel 11 2/5 miles from her house to Carson's house.

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