Question

If juliana and brody hiked both trails, how far did they hike? 3 2/3 and 2 5/6

Answer 1

Juliana trails = $3\frac{2}{3}$

Brody trails = $2\frac{5}{6}$.

In order to find total how far they hiked, we need to add Juliana trails and Brody trails.

Juliana trails + Brody trails  = $3\frac{2}{3} +2\frac{5}{6}$.

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.

$\frac{4}{6} +\frac{5}{6} = \frac{4+5}{6} = \frac{9}{6}$

Converting 9/6 into improper fraction:

If we divide 9 by 6, we get quotent 1 and 3 remainder.

So, we get fraction $1 \frac{3}{6} .$

3/6 could also be reduced to 1/2 by dividing 3 and 6 by 3.

We get,

$\frac{3}{6} = \frac{1}{2}$

Therefore, $1 \frac{3}{6} = 1 \frac{1}{2}$

Adding 5 into $1\frac{1}{2}$.

We get,

$6\frac{1}{2}.$

So, we could say

They hiked total $6\frac{1}{2}$ far.