Respuesta :
Answer:
[tex]4\frac{5}{6}=4.833[/tex] miles.
Step-by-step 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.
[tex]\text{The total number of miles skated by Arnie}=1\frac{3}{4} +1\frac{1}{3}+ 1\frac{3}{4}[/tex]
Upon converting our mixed fractions into improper fractions we will get,
[tex]\text{The total number of miles skated by Arnie}=\frac{7}{4} +\frac{4}{3}+ \frac{7}{4}[/tex]
[tex]\text{The total number of miles skated by Arnie}=\frac{14}{4} +\frac{4}{3}[/tex]
Now let us have a common denominator,
[tex]\text{The total number of miles skated by Arnie}=\frac{3*14}{3*4} +\frac{4*4}{4*3}[/tex]
[tex]\text{The total number of miles skated by Arnie}=\frac{42}{12} +\frac{16}{12}[/tex]
[tex]\text{The total number of miles skated by Arnie}=\frac{42+16}{12}[/tex]
[tex]\text{The total number of miles skated by Arnie}=\frac{58}{12}[/tex]
[tex]\text{The total number of miles skated by Arnie}=4\frac{10}{12}[/tex]
[tex]\text{The total number of miles skated by Arnie}=4\frac{5}{6}=4.833[/tex]
Therefore, Arnie skated [tex]4\frac{5}{6}=4.833[/tex] miles in all.
