Evaluate
\frac{35x+31}{2\left(7x+6\right)}
Factor
\frac{35x+31}{2\left(7x+6\right)}
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\frac{5}{2}+\frac{2x}{28x^{2}+24x}
Cancel out x in both numerator and denominator.
\frac{5}{2}+\frac{2x}{4x\left(7x+6\right)}
Factor the expressions that are not already factored in \frac{2x}{28x^{2}+24x}.
\frac{5}{2}+\frac{1}{2\left(7x+6\right)}
Cancel out 2x in both numerator and denominator.
\frac{5\left(7x+6\right)}{2\left(7x+6\right)}+\frac{1}{2\left(7x+6\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 2\left(7x+6\right) is 2\left(7x+6\right). Multiply \frac{5}{2} times \frac{7x+6}{7x+6}.
\frac{5\left(7x+6\right)+1}{2\left(7x+6\right)}
Since \frac{5\left(7x+6\right)}{2\left(7x+6\right)} and \frac{1}{2\left(7x+6\right)} have the same denominator, add them by adding their numerators.
\frac{35x+30+1}{2\left(7x+6\right)}
Do the multiplications in 5\left(7x+6\right)+1.
\frac{35x+31}{2\left(7x+6\right)}
Combine like terms in 35x+30+1.
\frac{35x+31}{14x+12}
Expand 2\left(7x+6\right).
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Limits
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