Question

Which shows a number that is not equivalent to 23}} 8? 햠 3}} 28햡 8}} 23햢 20.375 햣 2 3}

Answer 1

To determine which of the provided options is not equivalent to \( \frac{23}{8} \), let's first convert \( \frac{23}{8} \) into its decimal form.

Calculating \( 23 \div 8 \) gives:

\[
23 \div 8 = 2.875
\]

Now, let's analyze the options one by one:

1. **\( \frac{3}{28} \)**:
- Calculate \( \frac{3}{28} \):
\[
3 \div 28 \approx 0.1071
\]

2. **\( \frac{8}{23} \)**:
- Calculate \( \frac{8}{23} \):
\[
8 \div 23 \approx 0.3478
\]

3. **\( 20.375 \)**:
- This is clearly not equivalent to \( 2.875 \).

4. **\( 2 \frac{3}{4} \)** (which is the mixed number written as \( 2 \frac{3}{4} \)):
- Convert \( 2 \frac{3}{4} \) to an improper fraction:
\[
2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} = 2.75
\]

Now, comparing these values to \( 2.875 \):

- \( \frac{3}{28} \approx 0.1071 \)
- \( \frac{8}{23} \approx 0.3478 \)
- \( 20.375 \) (not equivalent)
- \( 2 \frac{3}{4} = 2.75 \)

From this evaluation, **the option that shows a number not equivalent to \( \frac{23}{8} \) is**:

**20.375**