Evaluate
\frac{151-15a}{78\left(3a+1\right)}
Factor
\frac{151-15a}{78\left(3a+1\right)}
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\frac{2}{3a+1}-\frac{5}{78}
Multiply 39 and 2 to get 78.
\frac{2\times 78}{78\left(3a+1\right)}-\frac{5\left(3a+1\right)}{78\left(3a+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3a+1 and 78 is 78\left(3a+1\right). Multiply \frac{2}{3a+1} times \frac{78}{78}. Multiply \frac{5}{78} times \frac{3a+1}{3a+1}.
\frac{2\times 78-5\left(3a+1\right)}{78\left(3a+1\right)}
Since \frac{2\times 78}{78\left(3a+1\right)} and \frac{5\left(3a+1\right)}{78\left(3a+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{156-15a-5}{78\left(3a+1\right)}
Do the multiplications in 2\times 78-5\left(3a+1\right).
\frac{151-15a}{78\left(3a+1\right)}
Combine like terms in 156-15a-5.
\frac{151-15a}{234a+78}
Expand 78\left(3a+1\right).
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