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

Answer:

$4\frac{5}{6}=4.833$ 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.

$\text{The total number of miles skated by Arnie}=1\frac{3}{4} +1\frac{1}{3}+ 1\frac{3}{4}$

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

$\text{The total number of miles skated by Arnie}=\frac{7}{4} +\frac{4}{3}+ \frac{7}{4}$

$\text{The total number of miles skated by Arnie}=\frac{14}{4} +\frac{4}{3}$

Now let us have a common denominator,

$\text{The total number of miles skated by Arnie}=\frac{3*14}{3*4} +\frac{4*4}{4*3}$

$\text{The total number of miles skated by Arnie}=\frac{42}{12} +\frac{16}{12}$

$\text{The total number of miles skated by Arnie}=\frac{42+16}{12}$

$\text{The total number of miles skated by Arnie}=\frac{58}{12}$

$\text{The total number of miles skated by Arnie}=4\frac{10}{12}$

$\text{The total number of miles skated by Arnie}=4\frac{5}{6}=4.833$

Therefore, Arnie skated $4\frac{5}{6}=4.833$ miles in all.