To plot a fraction equivalent to [tex]\(\frac{3}{8}\)[/tex], we first need to find a fraction that has the same value as [tex]\(\frac{3}{8}\)[/tex] but with different numerator and denominator. One basic way to do this is by multiplying both the numerator and the denominator by the same number.
Let's multiply the numerator and denominator of [tex]\(\frac{3}{8}\)[/tex] by 2 to get an equivalent fraction:
[tex]\[
\frac{3 \times 2}{8 \times 2} = \frac{6}{16}
\][/tex]
Hence, [tex]\(\frac{6}{16}\)[/tex] is an equivalent fraction to [tex]\(\frac{3}{8}\)[/tex].
Now, let's proceed with plotting these fractions on a bar chart.
1. Label the Fractions:
- The first bar will represent [tex]\(\frac{3}{8}\)[/tex].
- The second bar will represent [tex]\(\frac{6}{16}\)[/tex].
2. Determine the Values:
- The value of [tex]\(\frac{3}{8}\)[/tex] is [tex]\(0.375\)[/tex].
- The value of [tex]\(\frac{6}{16}\)[/tex] is [tex]\(0.375\)[/tex].
These steps can be summarized in tabular format:
| Fraction | Value |
|----------|---------|
| 3/8 | 0.375 |
| 6/16 | 0.375 |
3. Plot the Values:
We use a bar chart to visualize the fractions. Label the bars as "3/8" and "6/16" and provide the corresponding values for the height of the bars.
Here is how you would typically plot this in a bar chart:
- On the x-axis, we will have two labels: "3/8" and "6/16".
- On the y-axis, we will have the value which is 0.375 for both fractions.
Let's outline the steps to create this chart:
1. Draw the Bar Chart:
- Use the x-axis for the fraction labels.
- Use the y-axis to show the value of the fractions (both are 0.375).
Our bar chart will look something like this; visualize two bars of equal height:
```
^
| |
| | (0.375)
| | |
| | |
| 3/8 | 6/16
+------------------>
```
By plotting "3/8" and "6/16", both bars should rise to the same height of 0.375 demonstrating that they are indeed equivalent fractions.
Through these detailed steps, you can visualize the equivalence of [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{6}{16}\)[/tex] clearly using a bar chart.
