what is a fifth of the sum of number a and 34
1/5 ( a+ 34) = a/5 + 34/5
1/5a + 34 = a/5 + 34
you missed 34a, when you distribute.
\(\frac{1}{5} \cdot (a + 34) = \frac{1}{5} \cdot a + 34 \cdot a\)
\(\frac{1}{5} \cdot (a + 34) = \frac{1}{5} \cdot a + \frac{1}{5}\cdot 34\)