Question

The decimal expansion of 180/(3²5⁷)

Answer 1

Answer:

0.000256

Step-by-step explanation:

180/(9x78125)=0.000256

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Answer 2

Here,

$\sf \: decimal \: expansion \: -$

$\sf \implies \: \frac{180}{ {3}^{2} \times {5}^{2} }$

$\sf \implies \: \frac{180}{ 9 \times 25}$

$\sf \implies \: \frac{ \cancel{180}}{ \cancel9 \times 25}$

$\sf \implies \: \frac{20}{ 25}$

$\sf \implies \: \frac{ \cancel{20}}{ \cancel{25} } = \frac{4}{5}$

$\sf \implies \blue {\boxed{ \red{ \frac{4}{5} } } }$