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\left(\frac{a-1}{a-1}+\frac{7}{a-1}\right)\times \frac{13a}{a}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a-1}{a-1}.
\frac{a-1+7}{a-1}\times \frac{13a}{a}
Since \frac{a-1}{a-1} and \frac{7}{a-1} have the same denominator, add them by adding their numerators.
\frac{a+6}{a-1}\times \frac{13a}{a}
Combine like terms in a-1+7.
\frac{a+6}{a-1}\times 13
Cancel out a in both numerator and denominator.
\frac{\left(a+6\right)\times 13}{a-1}
Express \frac{a+6}{a-1}\times 13 as a single fraction.
\frac{13a+78}{a-1}
Use the distributive property to multiply a+6 by 13.
\left(\frac{a-1}{a-1}+\frac{7}{a-1}\right)\times \frac{13a}{a}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a-1}{a-1}.
\frac{a-1+7}{a-1}\times \frac{13a}{a}
Since \frac{a-1}{a-1} and \frac{7}{a-1} have the same denominator, add them by adding their numerators.
\frac{a+6}{a-1}\times \frac{13a}{a}
Combine like terms in a-1+7.
\frac{a+6}{a-1}\times 13
Cancel out a in both numerator and denominator.
\frac{\left(a+6\right)\times 13}{a-1}
Express \frac{a+6}{a-1}\times 13 as a single fraction.
\frac{13a+78}{a-1}
Use the distributive property to multiply a+6 by 13.