Question
i asked you to add -12/7 and (3/14)
Answers
GPT-4o mini
To add \(-\frac{12}{7}\) and \(\frac{3}{14}\), we need a common denominator. The least common multiple of 7 and 14 is 14.
Now, let's convert \(-\frac{12}{7}\) to have a denominator of 14:
\[
-\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14}
\]
Next, we can add \(-\frac{24}{14}\) and \(\frac{3}{14}\):
\[
-\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14}
\]
Now we can simplify \(\frac{-21}{14}\):
\[
\frac{-21 \div 7}{14 \div 7} = \frac{-3}{2}
\]
So, \(-\frac{12}{7} + \frac{3}{14} = -\frac{3}{2}\).
Now, let's convert \(-\frac{12}{7}\) to have a denominator of 14:
\[
-\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14}
\]
Next, we can add \(-\frac{24}{14}\) and \(\frac{3}{14}\):
\[
-\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14}
\]
Now we can simplify \(\frac{-21}{14}\):
\[
\frac{-21 \div 7}{14 \div 7} = \frac{-3}{2}
\]
So, \(-\frac{12}{7} + \frac{3}{14} = -\frac{3}{2}\).