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(-11/20) ÷ (-4/16) =

1 Answer

1 vote

Answer:


\boxed{\sf \cfrac{11}{5}\:\: or \:\: 2.2}

Explanation:


\sf \left(\cfrac{-11}{20}\right)/ \left(\cfrac{-4}{16}\right)

Apply fraction rule:


\boxed{\sf\cfrac{a}{b}/\cfrac{c}{d} =(a* \:d)/(b* \:c)}


\longmapsto\sf \cfrac{-11* \:16}{20\left(-4\right)}

Cancel the common factor of 16 and 20:


\longmapsto\sf \cfrac{-11*4}{5*(-4)}

Cancel common factor of 4 and −4:


\longmapsto\sf \cfrac{-11}{5* (-1)}

Multiply 5 by -1:


\longmapsto\sf \cfrac{-11}{-5}

Dividing two negative values gives a positive value:


\longmapsto\sf \cfrac{11}{5}

Or


\longmapsto\sf 2.2

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