Answer:
Distributive property is verified.
Step-by-step explanation:
Verifying distributive property:
a * (b +c) = a*b + a*c
a = -3/11 ; b = 9/5 ; c = 1/5
LHS = a * (b + c)
First Slove that is inside the parenthesis, (b +c)
[tex]\sf = \dfrac{-3}{11}*\left(\dfrac{9}{5}+\dfrac{1}{5}\right)\\\\=\dfrac{-3}{11}*\dfrac{10}{5}\\\\= \dfrac{-3}{11}*2\\\\=\dfrac{-6}{11}[/tex]
RHS = a * b + a*c
[tex]\sf = \dfrac{-3}{11}*\dfrac{9}{5} +\dfrac{-3}{11}*\dfrac{1}{5}\\\\=\dfrac{-27}{55}-\dfrac{3}{55}\\\\=\dfrac{-30}{55}\\\\=\dfrac{-30 \div 5}{55 \div 5}\\\\=\dfrac{-6}{11}[/tex]
LHs = RHS
Hence, verified
