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\frac{2\left(15a+25b\right)}{5b}+\frac{1}{b}
Express \frac{2}{5b}\left(15a+25b\right) as a single fraction.
\frac{2\left(15a+25b\right)}{5b}+\frac{5}{5b}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5b and b is 5b. Multiply \frac{1}{b} times \frac{5}{5}.
\frac{2\left(15a+25b\right)+5}{5b}
Since \frac{2\left(15a+25b\right)}{5b} and \frac{5}{5b} have the same denominator, add them by adding their numerators.
\frac{30a+50b+5}{5b}
Do the multiplications in 2\left(15a+25b\right)+5.
\frac{5\left(6a+10b+1\right)}{5b}
Factor the expressions that are not already factored in \frac{30a+50b+5}{5b}.
\frac{6a+10b+1}{b}
Cancel out 5 in both numerator and denominator.
\frac{2\left(15a+25b\right)}{5b}+\frac{1}{b}
Express \frac{2}{5b}\left(15a+25b\right) as a single fraction.
\frac{2\left(15a+25b\right)}{5b}+\frac{5}{5b}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5b and b is 5b. Multiply \frac{1}{b} times \frac{5}{5}.
\frac{2\left(15a+25b\right)+5}{5b}
Since \frac{2\left(15a+25b\right)}{5b} and \frac{5}{5b} have the same denominator, add them by adding their numerators.
\frac{30a+50b+5}{5b}
Do the multiplications in 2\left(15a+25b\right)+5.
\frac{5\left(6a+10b+1\right)}{5b}
Factor the expressions that are not already factored in \frac{30a+50b+5}{5b}.
\frac{6a+10b+1}{b}
Cancel out 5 in both numerator and denominator.