Question

4 /9 ÷ ? = −8 /15 help​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Putting x in place of ?

$\sf{ \frac{4}{9} \div \: x = \frac{ - 8}{15}}$

$\sf \to{15 \times \bigg( \frac{4}{9} \bigg) = x( - 8)}$

$\sf \to{ \frac{15 \times 4}{9} = x( - 8)}$

$\sf \to{ \frac{60}{9} =x( - 8)}$

$\sf \to{ \frac{20}{3} = x( - 8)}$

$\sf \to{x( - 8) = \frac{20}{3} }$

$\sf \to{x = \frac{ \frac{20}{3} }{ - 8} }$

$\sf \to{x = \frac{20}{3( - 8)} }$

$\sf \to{x = \frac{20}{ - 24}}$

$\sf \to{x = \frac{ - 5}{6}}$

Therefore,

$\sf{\frak{\pink{{\frac{4}{9}\div \bigg( \frac{ - 5}{6} \bigg)} = \frac{ - 8}{15}}}}$