Question

Use a number line to add 5/4+(−2/4)
(?)

Answer 1

To add the fractions \( \frac{5}{4} + \left(-\frac{2}{4}\right) \) using a number line, follow these steps:

1. **Locate \( \frac{5}{4} \) on the number line:** Since \( \frac{5}{4} \) is equal to \( 1.25 \), you would mark this point between 1 and 2.

2. **Recognize \( -\frac{2}{4} \):** This fraction is equivalent to \( -\frac{1}{2} \) or \( -0.5 \).

3. **Move left on the number line:** From your point at \( \frac{5}{4} \) (or \( 1.25 \)), move \( \frac{2}{4} \) to the left:
- Moving \( \frac{1}{4} \) left takes you to \( 1.0 \),
- Moving another \( \frac{1}{4} \) left takes you to \( 0.75 \) (or \( \frac{3}{4} \)).

4. **End location:** After moving \( \frac{2}{4} \) (or \( 0.5 \)) left from \( 1.25 \), you end up at \( 0.75 \) (or \( \frac{3}{4} \)).

Therefore,
\[
\frac{5}{4} + \left(-\frac{2}{4}\right) = \frac{3}{4}.
\]

So, the final answer is:
\[
\frac{5}{4} + \left(-\frac{2}{4}\right) = \frac{3}{4}.
\]