Question

Write 13/40 as a fraction with the denominator as a power of 10

Answer 1

$Given \: fraction \: \frac{13}{40} \\= \frac{13}{2^{3} \times 5 } \\= \frac{13\times 5^{2} }{2^{3} \times 5\times 5^{2} } \\= \frac{13\times 25 }{2^{3} \times 5^{3} } \\= \frac{325}{(2\times 5)^{3}}\\= \frac{325}{10^{3}} \blue { (Denominator \:is \: power \:of \: 10 ) }$

Therefore.,

$\red{\frac{13}{40}} \green {= \frac{325}{10^{3}}}$

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