Question

Select all the fractions that are equivalent to 12/16
12
16
(1 point)
Responses

6/8


3/8

2/6


36/48

Answer 1

To determine which fractions are equivalent to \( \frac{12}{16} \), we can simplify \( \frac{12}{16} \) and check it against the provided options.

First, simplify \( \frac{12}{16} \):
- The greatest common divisor (GCD) of 12 and 16 is 4.
- Divide both the numerator and the denominator by 4:

\[
\frac{12 \div 4}{16 \div 4} = \frac{3}{4}
\]

Now we check each of the provided fractions to see if they simplify to \( \frac{3}{4} \):

1. **\( \frac{6}{8} \)**:
- Simplifying: \( \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \) (equivalent)

2. **\( \frac{3}{8} \)**:
- This cannot be simplified further, and it does not equal \( \frac{3}{4} \) (not equivalent).

3. **\( \frac{2}{6} \)**:
- Simplifying: \( \frac{2 \div 2}{6 \div 2} = \frac{1}{3} \) (not equivalent).

4. **\( \frac{36}{48} \)**:
- Simplifying: \( \frac{36 \div 12}{48 \div 12} = \frac{3}{4} \) (equivalent)

The fractions that are equivalent to \( \frac{12}{16} \) are:

- \( \frac{6}{8} \)
- \( \frac{36}{48} \)

So the equivalent fractions are **\( \frac{6}{8} \)** and **\( \frac{36}{48} \)**.