Simplify 5/14a+−2/5c+1/8b−2/5c+3/8b+7/14

Answer 1

To simplify the expression $\frac{5}{14}a-\frac{2}{5}c+\frac{1}{8}b-\frac{2}{5}c+\frac{3}{8}b+\frac{7}{14}$, we will first combine like terms.

Step 1: Combine the like terms involving $c$

• The $c$ terms are $-\frac{2}{5}c-\frac{2}{5}c$: $$-\frac{2}{5}c-\frac{2}{5}c=-\frac{4}{5}c$$

Step 2: Combine the like terms involving $b$

• The $b$ terms are $\frac{1}{8}b+\frac{3}{8}b$: $$\frac{1}{8}b+\frac{3}{8}b=\frac{4}{8}b=\frac{1}{2}b$$

Step 3: Combine the constant terms

• The constant terms are $\frac{7}{14}$, which simplifies to $\frac{1}{2}$: $$\frac{7}{14}=\frac{1}{2}$$

Step 4: Write the simplified expression

Now we can combine all the simplified parts: $$\frac{5}{14}a-\frac{4}{5}c+\frac{1}{2}b+\frac{1}{2}$$

Final simplified expression

The final simplified expression is: $$\frac{5}{14}a-\frac{4}{5}c+\frac{1}{2}b+\frac{1}{2}$$