Question

(-11/20) ÷ (-4/16) =

Answer 1

`\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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