Juliana trails = [tex]3\frac{2}{3}[/tex]
Brody trails = [tex]2\frac{5}{6}[/tex].
In order to find total how far they hiked, we need to add Juliana trails and Brody trails.
Juliana trails + Brody trails = [tex]3\frac{2}{3} +2\frac{5}{6}[/tex].
Adding whole number in front 3+2 = 5.
Now, adding fractions 2/3 and 5/6 by taking common denominator (lcd).
Least common denominator(lcd) of 3 and 6 is = 6.
So, we need to make both denominator = 6.
Muilplying 2/3 by 2 in top and bottom we get 2*2/3*2 = 4/6.
Now, adding 4/6 and 5/6.
We got the common denominator 6. So, we can just add numerators.
[tex]\frac{4}{6} +\frac{5}{6} = \frac{4+5}{6} = \frac{9}{6}[/tex]
Converting 9/6 into improper fraction:
If we divide 9 by 6, we get quotent 1 and 3 remainder.
So, we get fraction [tex]1 \frac{3}{6} .[/tex]
3/6 could also be reduced to 1/2 by dividing 3 and 6 by 3.
We get,
[tex]\frac{3}{6} = \frac{1}{2}[/tex]
Therefore, [tex]1 \frac{3}{6} = 1 \frac{1}{2}[/tex]
Adding 5 into [tex]1\frac{1}{2}[/tex].
We get,
[tex]6\frac{1}{2}.[/tex]
So, we could say
They hiked total [tex]6\frac{1}{2}[/tex] far.
