Question

Add 7m/16 + -m/16. Reduce, if possible.
3m/8
7/16
-m/2
6m/16

Answer 1

To add the fractions \( \frac{7m}{16} + \frac{-m}{16} \), we notice that they have the same denominator (16). We can combine them directly:

\[
\frac{7m - m}{16} = \frac{6m}{16}
\]

Now, we can reduce \( \frac{6m}{16} \). To do this, we divide both the numerator and the denominator by their greatest common divisor, which is 2:

\[
\frac{6m \div 2}{16 \div 2} = \frac{3m}{8}
\]

So, the final answer, after reduction, is:

\[
\frac{3m}{8}
\]