Question

Select all the fractions that are equivalent to 812
8
12
(1 point)
Responses

1624
16
24
16 over 24

23
2
3
2 thirds

1014
10
14
10 over 14

46

Answer 1

To determine which fractions are equivalent to \(\frac{8}{12}\), we can simplify \(\frac{8}{12}\) first by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

\[
\frac{8 \div 4}{12 \div 4} = \frac{2}{3}
\]

Now let's check each of the suggested fractions:

1. **\(\frac{16}{24}\)**:
- Simplifying \(\frac{16}{24}\) gives \(\frac{16 \div 8}{24 \div 8} = \frac{2}{3}\), which is equivalent.

2. **\(\frac{2}{3}\)**:
- This fraction is exactly what we found when simplifying \(\frac{8}{12}\).

3. **\(\frac{10}{14}\)**:
- Simplifying \(\frac{10}{14}\) gives \(\frac{10 \div 2}{14 \div 2} = \frac{5}{7}\), which is not equivalent.

4. **\(\frac{46}{1}\)**:
- This fraction is not in the form of \(\frac{a}{b}\) where both a and b are whole numbers representing a fraction.

In conclusion, the fractions that are equivalent to \(\frac{8}{12}\) are:
- \(\frac{16}{24}\)
- \(\frac{2}{3}\)

Thus, the correct responses are **16 over 24** and **2 thirds**.