This is a number line with both positive and negative values. Positive numbers are located to the right of 0 (zero) and negative numbers are located to the left of 0. The numbers increase from left to right.
For any number, everything to the right of it is always greater. Example: 0 is greater than -5.

Here is a number line that shows fraction or decimal values with negative numbers.

How do you determine the value of the red dot?
The red dot is between -7 and -8 on the number line so it has a fractional or decimal value.

This means the red dot is -7 +

The number of equal parts from one whole number to the next whole number is the number in the denominator.

This means the red dot is -7 +

The number of equal parts from -7 to the red dot is the number in the numerator.
Note: For negative numbers, we count to the left. For positive numbers, we count to the right.

This means the red dot is -7 +

So the value of the red dot is -7³/₄ or -7.75.

Example 1:

Choose one or more answers that represent the point in the number line

-28⁶/₅   -29.25   -29.2   -29¹/₅   -29¹/₄  

The red dot is between -30 and -29 so it has a fractional or decimal value.

-29 + ^?/_?

There are 5 equal parts between -30 and -29 and 5 equal parts between -29 and -28.

-29 + ^?/₅

There is 1 equal part from -29 to the red dot.

-29 + ^-1/₅

So the red dot is -29¹/₅.
Find the decimal value of the fraction: -29¹/₅ = -29.2

Now let's figure out which boxes to check:

Does -286/5 = -291/5?	Yes!	Simplify: -286/5 = -28 + -6/5 = -28 + -11/5 = -291/5
Does -29.25 = -291/5?	No	-29.25 = -291/4
Does -29.2 = -291/5?	Yes!	-29.2 = -292/10 = -291/5
Does -291/5 = -291/5?	Yes!
Does -291/4 = -291/5?	No

The answer is -28⁶/₅   -29.25   -29.2   -29¹/₅   -29¹/₄