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Answer:
[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]
Step-by-step explanation:
Given
[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} =[/tex]
Required
Solve
Start by converting the mixed number to improper fraction
[tex]\dfrac{-2}{3} \div \dfrac{9}{4} =[/tex]
Convert the division to muliplication
[tex]\dfrac{-2}{3} * \dfrac{4}{9} =[/tex]
[tex]\dfrac{-2*4}{3*9}=[/tex]
[tex]\dfrac{-8}{27}[/tex]
Hence:
[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]