# Chapter 6 - Rational Expressions and Equations - 6.3 Addition, Subtraction, and Least Common Denominators - 6.3 Exercise Set: 14

$\dfrac{t+4}{4t}$

#### Work Step by Step

Subtracting the numerators and copying the denominator, the given expression, $\dfrac{5+3t}{4t}-\dfrac{2t+1}{4t} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{5+3t-(2t+1)}{4t} \\\\= \dfrac{5+3t-2t-1}{4t} \\\\= \dfrac{t+4}{4t} .\end{array}

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