Question

add -12/7+3/14

Answer 1

To add \(-\frac{12}{7}\) and \(\frac{3}{14}\), we need a common denominator. The least common multiple of 7 and 14 is 14.

First, we convert \(-\frac{12}{7}\) to a fraction with a denominator of 14:

\[
-\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14}
\]

Now we can add the two fractions:

\[
-\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14}
\]

We can simplify \(\frac{-21}{14}\):

\[
\frac{-21}{14} = \frac{-3}{2}
\]

So, the final result is:

\[
-\frac{3}{2}
\]