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-1 5/6

Step-by-step explanation:

-2/3 + (-1 1/6)

Look carefully at he number line. Each space between whole numbers is divided into 6. That means that from one mark on the line to the very next one, the distance is 1/6.

Start at -2/3. Since we are dealing with 1/6's, convert -2/3 to 6ths.

-2/3 * 2/2 = -4/6

-2/3 is the same as -4/6, so start at -4/6. Locate 0 on the number line, and move 4 marks to the left. That is -4/6 which is the same as -2/3 and is your starting point.

Now you need to add -1 1/6. Adding a negative number is the same as subtracting a positive number. Adding -1 1/6 is the same as subtracting 1 1/6. That means you need to go left 1 1/6. Since each unit is divided into 6 equal parts, 1 1/6 is 7 marks on the number line. Starting at -4/6, count 7 marks to the left. Where you end up is the answer which is -1 5/6.

-2/3 + (-1 1/6) = -1 5/6

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