Select all of the fractions that are equivalent to 6/8

Question

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 \( \frac{3}{4} \).