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\frac{13\left(14x+49y\right)}{7x}+\frac{y}{x}
Express \frac{13}{7x}\left(14x+49y\right) as a single fraction.
\frac{13\left(14x+49y\right)}{7x}+\frac{7y}{7x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x and x is 7x. Multiply \frac{y}{x} times \frac{7}{7}.
\frac{13\left(14x+49y\right)+7y}{7x}
Since \frac{13\left(14x+49y\right)}{7x} and \frac{7y}{7x} have the same denominator, add them by adding their numerators.
\frac{182x+637y+7y}{7x}
Do the multiplications in 13\left(14x+49y\right)+7y.
\frac{182x+644y}{7x}
Combine like terms in 182x+637y+7y.
\frac{14\left(13x+46y\right)}{7x}
Factor the expressions that are not already factored in \frac{182x+644y}{7x}.
\frac{2\left(13x+46y\right)}{x}
Cancel out 7 in both numerator and denominator.
\frac{26x+92y}{x}
Use the distributive property to multiply 2 by 13x+46y.
\frac{13\left(14x+49y\right)}{7x}+\frac{y}{x}
Express \frac{13}{7x}\left(14x+49y\right) as a single fraction.
\frac{13\left(14x+49y\right)}{7x}+\frac{7y}{7x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x and x is 7x. Multiply \frac{y}{x} times \frac{7}{7}.
\frac{13\left(14x+49y\right)+7y}{7x}
Since \frac{13\left(14x+49y\right)}{7x} and \frac{7y}{7x} have the same denominator, add them by adding their numerators.
\frac{182x+637y+7y}{7x}
Do the multiplications in 13\left(14x+49y\right)+7y.
\frac{182x+644y}{7x}
Combine like terms in 182x+637y+7y.
\frac{14\left(13x+46y\right)}{7x}
Factor the expressions that are not already factored in \frac{182x+644y}{7x}.
\frac{2\left(13x+46y\right)}{x}
Cancel out 7 in both numerator and denominator.
\frac{26x+92y}{x}
Use the distributive property to multiply 2 by 13x+46y.