Evaluate
\frac{47w+25}{7w\left(w+5\right)}
Factor
\frac{47w+25}{7w\left(w+5\right)}
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\frac{6\times 7w}{7w\left(w+5\right)}+\frac{5\left(w+5\right)}{7w\left(w+5\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of w+5 and 7w is 7w\left(w+5\right). Multiply \frac{6}{w+5} times \frac{7w}{7w}. Multiply \frac{5}{7w} times \frac{w+5}{w+5}.
\frac{6\times 7w+5\left(w+5\right)}{7w\left(w+5\right)}
Since \frac{6\times 7w}{7w\left(w+5\right)} and \frac{5\left(w+5\right)}{7w\left(w+5\right)} have the same denominator, add them by adding their numerators.
\frac{42w+5w+25}{7w\left(w+5\right)}
Do the multiplications in 6\times 7w+5\left(w+5\right).
\frac{47w+25}{7w\left(w+5\right)}
Combine like terms in 42w+5w+25.
\frac{47w+25}{7w^{2}+35w}
Expand 7w\left(w+5\right).
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