Question

Select all of the fractions that are equivalent to 6/8
6
8
.(1 point)
Responses

1216
12
16
12 over 16

1214
12
14
12 over 14

34
3
4
3 fourths

34

Answer 1

To determine which fractions are equivalent to \( \frac{6}{8} \), we can simplify \( \frac{6}{8} \) and also compare it with each of the provided options.

First, simplify \( \frac{6}{8} \):

1. Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
\[
\frac{6 \div 2}{8 \div 2} = \frac{3}{4}
\]

Now, let's see which of the given fractions are equivalent to \( \frac{3}{4} \) or \( \frac{6}{8} \):

### Checking the Options:

1. **Option** \( \frac{12}{16} \):
- Simplify:
\[
\frac{12 \div 4}{16 \div 4} = \frac{3}{4} \quad \text{(equivalent)}
\]

2. **Option** \( \frac{12}{14} \):
- Simplify:
\[
\frac{12 \div 2}{14 \div 2} = \frac{6}{7} \quad \text{(not equivalent)}
\]

3. **Option** \( \frac{3}{4} \):
- This is \( \frac{3}{4} \) (equivalent).

4. **Option** \( \frac{3}{4} \):
- This is \( \frac{3}{4} \) (equivalent).

### Summary of Equivalent Fractions:
- **Equivalent to \( \frac{6}{8} \)**:
- \( \frac{12}{16} \)
- \( \frac{3}{4} \)
- \( \frac{3}{4} \) (listed twice)

The equivalent fractions to \( \frac{6}{8} \) are \( \frac{12}{16} \) and \( \frac{3}{4} \).