Question

1. 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 number is not equivalent to \( \frac{23}{8} \), let's first convert \( \frac{23}{8} \) to its decimal form.

Calculating \( 23 \div 8 \):
- 8 goes into 23 two times (2 x 8 = 16) with a remainder of 7.
- Therefore, \( 23 \div 8 = 2.875 \).

Now, let's compare this value with the numbers you've provided. We will find their decimal equivalents:

1. \( \frac{3}{28} \):
- \( 3 \div 28 \approx 0.1071 \)

2. \( \frac{8}{23} \):
- \( 8 \div 23 \approx 0.3478 \)

3. \( 20.375 \):
- This is already in decimal form.

4. \( 2 \frac{3}{8} \):
- Convert to improper fraction: \( 2 \frac{3}{8} = \frac{16 + 3}{8} = \frac{19}{8} \)
- \( 19 \div 8 = 2.375 \)

Now we have the decimal equivalents for comparison:
- \( \frac{23}{8} = 2.875 \)
- \( \frac{3}{28} \approx 0.1071 \)
- \( \frac{8}{23} \approx 0.3478 \)
- \( 20.375 = 20.375 \)
- \( 2 \frac{3}{8} = 2.375 \)

Among these, the number that is **not equivalent** to \( \frac{23}{8} \) is clearly \( 20.375 \), since it is significantly different from \( 2.875 \).

Thus, the answer is **20.375**.