Question

Jeffrey walked 1/3 mile on Monday and jogged 3/4 mile on Tuesday. How far did he walk and jog on Monday and Tuesday combined?

Answer 1

The combined distance is `1 1/12` miles

Explanation:

Combined is `1/3+3/4`

A fraction consists of `("count")/("size indicator")->("numerator")/("denominator")`

You can not directly add or subtract the 'counts' unless the 'size indicators' are the same.

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way a number looks without changing its value.

`color(green)([1/3color(red)(xx1)]+[3/4color(red)(xx1)]`

`color(green)([1/3color(red)(xx4/4)]+[3/4color(red)(xx3/3)]`

`" "4/12" "+" "9/12`

`=13/12`

This is the same as `" "12/12+1/12" " =" " 1 1/12`