## Algebra: A Combined Approach (4th Edition)

$\dfrac{9x+7}{6x^{2}}-\dfrac{3x+4}{6x^{2}}=\dfrac{2x+1}{2x^{2}}$
$\dfrac{9x+7}{6x^{2}}-\dfrac{3x+4}{6x^{2}}$ Evaluate the substraction: $\dfrac{9x+7}{6x^{2}}-\dfrac{3x+4}{6x^{2}}=\dfrac{(9x+7)-(3x+4)}{6x^{2}}=...$ $...=\dfrac{9x+7-3x-4}{6x^{2}}=\dfrac{6x+3}{6x^{2}}=...$ Take out common factor $3$ from the numerator and simplify: $...=\dfrac{3(2x+1)}{6x^{2}}=\dfrac{2x+1}{2x^{2}}$