Question
What fractions are equivalent to
3/12?
3/12?
Answers
GPT-4o mini
To find fractions equivalent to \( \frac{3}{12} \), you can multiply both the numerator and the denominator by the same non-zero number.
Here are a few examples:
1. Multiply by 2:
\[
\frac{3 \times 2}{12 \times 2} = \frac{6}{24}
\]
2. Multiply by 3:
\[
\frac{3 \times 3}{12 \times 3} = \frac{9}{36}
\]
3. Multiply by 4:
\[
\frac{3 \times 4}{12 \times 4} = \frac{12}{48}
\]
4. Multiply by 5:
\[
\frac{3 \times 5}{12 \times 5} = \frac{15}{60}
\]
5. Multiply by -1 (to get a negative fraction):
\[
\frac{3 \times (-1)}{12 \times (-1)} = \frac{-3}{-12}
\]
These are just a few examples. In general, any fraction of the form \( \frac{3n}{12n} \) for any non-zero integer \( n \) will be equivalent to \( \frac{3}{12} \). This means that \( \frac{1}{4} \) is also equivalent since \( \frac{3}{12} \) can be simplified to \( \frac{1}{4} \).
Here are a few examples:
1. Multiply by 2:
\[
\frac{3 \times 2}{12 \times 2} = \frac{6}{24}
\]
2. Multiply by 3:
\[
\frac{3 \times 3}{12 \times 3} = \frac{9}{36}
\]
3. Multiply by 4:
\[
\frac{3 \times 4}{12 \times 4} = \frac{12}{48}
\]
4. Multiply by 5:
\[
\frac{3 \times 5}{12 \times 5} = \frac{15}{60}
\]
5. Multiply by -1 (to get a negative fraction):
\[
\frac{3 \times (-1)}{12 \times (-1)} = \frac{-3}{-12}
\]
These are just a few examples. In general, any fraction of the form \( \frac{3n}{12n} \) for any non-zero integer \( n \) will be equivalent to \( \frac{3}{12} \). This means that \( \frac{1}{4} \) is also equivalent since \( \frac{3}{12} \) can be simplified to \( \frac{1}{4} \).