Answer
$-12\dfrac{3}{20}$
Work Step by Step
Make the fractions similar using their LCD, which is $20$:
$=-5\dfrac{3(5)}{4(5)}+\left(-6\dfrac{2(4)}{5(4)}\right)
\\=-5\dfrac{15}{20}+\left(-6\dfrac{8}{20}\right)
\\=-\left(5\dfrac{15}{20}+6\dfrac{8}{20}\right)
\\=-\left((5+6)+(\frac{15}{20}+\frac{8}{20})\right)
\\=-\left(11+\frac{15+8}{20}\right)
\\=-\left(11+\frac{23}{20}\right)
\\=-\left(11+1\frac{3}{20}\right)
\\=-12\dfrac{3}{20}$