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Sagot :
Answer:
[tex]\boxed{\sf \cfrac{11}{5}\:\: or \:\: 2.2}[/tex]
Step-by-step explanation:
[tex]\sf \left(\cfrac{-11}{20}\right)\div \left(\cfrac{-4}{16}\right)[/tex]
Apply fraction rule:
[tex]\boxed{\sf\cfrac{a}{b}\div\cfrac{c}{d} =\frac{a\times \:d}{b\times \:c}}[/tex]
[tex]\longmapsto\sf \cfrac{-11\times \:16}{20\left(-4\right)}[/tex]
Cancel the common factor of 16 and 20:
[tex]\longmapsto\sf \cfrac{-11\times4}{5\times(-4)}[/tex]
Cancel common factor of 4 and −4:
[tex]\longmapsto\sf \cfrac{-11}{5\times (-1)}[/tex]
Multiply 5 by -1:
[tex]\longmapsto\sf \cfrac{-11}{-5}[/tex]
Dividing two negative values gives a positive value:
[tex]\longmapsto\sf \cfrac{11}{5}[/tex]
Or
[tex]\longmapsto\sf 2.2[/tex]
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