Question

Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samuel walk?

Answer 1

find a common denominator which is 12

1*3=3 4*3=12 so 3 3/12

then 5*2=10 6*2=12 so 2 10/12

2 10/12+3 3/12= 5 13/12

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12

Answer 2

73/12 miles

Explanation:

We can determine the total amount of miles that Samuel walks by using the distances he walks in the parade and the distance he walks home. We can add these totals together to give us the total distance walke. We can first make all values in fraction form by using a common denominator. We can see that the for 3 1/4 in the fraction for:

`=(3\cdot{4}+1)/4=13/4`

and for 2 5/6:

`=(2\cdot{6}+5)/6=17/6`

The common demonimator of both equations are 12:

and therefore:

`39/12+34/12=73/12`

Samual walks 73/12 miles