Marcus graphed a point on the number line.

Question

A number line going from 0 to 1 with 8 equal spaces between 0 and 1. A point is marked on the line half-way between 0 and 1.

What fractions did he graph? Check all that apply.
StartFraction 4 Over 8 EndFraction
StartFraction 5 Over 9 EndFraction
One-half
StartFraction 2 Over 4 EndFraction
StartFraction 4 Over 9 EndFraction

Answer 1

The point Marcus marked is halfway between 0 and 1 on a number line that has 8 equal spaces between 0 and 1. This means the point corresponds to the fraction \( \frac{4}{8} \), which simplifies to \( \frac{1}{2} \).

Now let's check which of the provided fractions apply:

1. \( \frac{4}{8} \): Yes, this is equivalent to \( \frac{1}{2} \).
2. \( \frac{5}{9} \): No, this is not equivalent to \( \frac{1}{2} \).
3. One-half: Yes, this is \( \frac{1}{2} \).
4. \( \frac{2}{4} \): Yes, this simplifies to \( \frac{1}{2} \).
5. \( \frac{4}{9} \): No, this is not equivalent to \( \frac{1}{2} \).

So the fractions that apply are:

• \( \frac{4}{8} \)
• One-half
• \( \frac{2}{4} \)