Question

(-11/20) ÷ (-4/16) =

Answer 1

Answer:

2.2

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

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

Apply fraction rule:

$\boxed{\sf\cfrac{a}{b}\div\cfrac{c}{d} =\frac{a\times \:d}{b\times \:c}}$

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

Cancel the common factor of 16 and 20:

$\longmapsto\sf \cfrac{-11\times4}{5\times(-4)}$

Cancel common factor of 4 and  −4:

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

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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