#### Answer

$\dfrac{4-\dfrac{11}{12}}{5+\dfrac{1}{4}}=\dfrac{37}{63}$

#### Work Step by Step

$\dfrac{4-\dfrac{11}{12}}{5+\dfrac{1}{4}}$
Evaluate the substraction indicated in the numerator and the sum indicated in the denominator:
$\dfrac{4-\dfrac{11}{12}}{5+\dfrac{1}{4}}=\dfrac{\dfrac{48-11}{12}}{\dfrac{20+1}{4}}=\dfrac{\dfrac{37}{12}}{\dfrac{21}{4}}=...$
Evaluate the division and simplify:
$...=\dfrac{37}{12}\div\dfrac{21}{4}=\dfrac{(37)(4)}{(12)(21)}=\dfrac{37}{63}$