To find equivalent fractions on a number line, we need to look at how the line is divided.
Step 1: Understand the Number Line
Look at the first number line in the image (labeled #1).
- The line starts at
0 and ends at
1.
- Count the spaces between 0 and 1. There are
4 equal spaces.
- This means each mark represents one-fourth ($\frac{1}{4}$).
- The marks are: $0, \frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4} (which is 1)$.
Step 2: Identify the Given Fraction
- The problem shows an arrow pointing to the first mark after 0.
- Since there are 4 total parts, this spot is $\frac{1}{4}$.
- The yellow fraction strip placed above it also says $\frac{1}{4}$.
Step 3: Find the Equivalent Fraction
- Look closely at the number line again. Underneath the main marks ($\frac{1}{4}, \frac{2}{4}$, etc.), there are smaller tick marks that divide each fourth into two smaller pieces.
- If you split every fourth into 2 pieces, you now have
8 equal pieces in total from 0 to 1.
- The spot for $\frac{1}{4}$ is exactly the same as the
second small mark.
- So, $\frac{1}{4}$ is the same as $\frac{2}{8}$.
Let's check the math:
If you multiply the top and bottom of $\frac{1}{4}$ by 2, you get:
$$1 \times 2 = 2$$
$$4 \times 2 = 8$$
So, $\frac{1}{4} = \frac{2}{8}$.
Looking at the handwritten answer in blue ink on the worksheet, it says $\frac{2}{8}$.
Final Answer:
The equivalent fraction for $\frac{1}{4}$ shown on the number line is $\frac{2}{8}$.
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions number line.
