Shana ran 6 miles in one week. This was one third of what she ran in the month. Write and solve a division equation to find how far she ran in the month

Let the distance ran by Shana in a month be x miles. Given that the distance ran in a week which 6 miles is 1/3 the total distance ran in a month, then:

distance ran in that week will be:

1/3*x=6

our equation is:

1/3x=6

the total distance ran in a month, we solve for x above:

1/3x=6

multiply both sides by 3

3*1/3x=6*3

x=18 miles

hence the total distance ran in a month was 18 miles