Question

Simplify 5/14a+−2/5c+1/8b−2/5c+3/8b+7/14a
.(1 point)

Answer 1

To simplify the expression \( \frac{5}{14}a - \frac{2}{5}c + \frac{1}{8}b - \frac{2}{5}c + \frac{3}{8}b + \frac{7}{14}a \), we can group the like terms together.

First, we can combine the terms with \( a \):
\[
\frac{5}{14}a + \frac{7}{14}a = \frac{5 + 7}{14}a = \frac{12}{14}a = \frac{6}{7}a
\]

Next, we combine the terms with \( c \):
\[
-\frac{2}{5}c - \frac{2}{5}c = -\frac{4}{5}c
\]

Finally, we combine the terms with \( b \):
\[
\frac{1}{8}b + \frac{3}{8}b = \frac{1 + 3}{8}b = \frac{4}{8}b = \frac{1}{2}b
\]

Now, we can put it all together:
\[
\frac{6}{7}a - \frac{4}{5}c + \frac{1}{2}b
\]

Thus, the simplified expression is:
\[
\frac{6}{7}a - \frac{4}{5}c + \frac{1}{2}b
\]