[tex]g=\frac{20}{3}[/tex]
Solution:
Given expression is [tex]-3\frac{1}{3}=\frac{-1}{2}g[/tex].
To solve the given expression:
Let us first convert the mixed fraction into improper fraction.
⇒ [tex]-3\frac{1}{3}=\frac{-1}{2}g[/tex]
⇒ [tex]-\frac{(3\times 3 )+1}{3}=\frac{-1}{2}g[/tex]
⇒ [tex]-\frac{10}{3}=\frac{-1}{2}g[/tex]
Do cross multiply on both sides of the equation.
⇒ [tex]-10\times2=(-1\times3)g[/tex]
⇒ [tex]-20 = -3g[/tex]
⇒ [tex]\frac{-20}{-3}=g[/tex]
Both minus in the numerator and denominator are cancelled.
⇒ [tex]\frac{20}{3}=g[/tex]
Hence, [tex]g=\frac{20}{3}[/tex].