You go for a walk around a lake .You walk 1/5 of a mile and then sit down to take a rest. Then,you walk an additional 2/3 of a mile. How far did you walk? Show your work

Respuesta :

Answer:

I walk a distance of [tex]\frac{13}{10} \ miles[/tex].

Step-by-step explanation:

Given:

Distance I walk at first = [tex]\frac{1}{5} \ mile[/tex]

Distance I walk later = [tex]\frac{2}{3} \ mile[/tex]

We need to find the total distance i walked.

Now total distance I walked is equal to sum of Distance I walk at first and Distance I walk at later.

framing in equation form we get;

total distance I walked = [tex]\frac{1}{5}+\frac{2}{3}[/tex]

By taking LCM to make the denominator common we get;

total distance I walked = [tex]\frac{1\times3}{5\times3}+\frac{2\times5}{3\times5}= \frac{3}{15}+\frac{10}{15}= \frac{3+10}{15} =\frac{13}{10} \ miles[/tex]

Hence I walk a distance of [tex]\frac{13}{10} \ miles[/tex].