Question

write the following rational number in decimal form without actual division:
7/8
&
21/25
pls help me​

Answer 1

$i ) \frac{7}{8} \\= \frac{7}{2^{3}}\\= \frac{7\times 5^{3}}{ 2^{3} \times 5^{3}} \\= \frac{ 7\times 125}{10^{3}} \\= \frac{875}{1000} \\= 0.875 \: ( Decimal \:form)$

$ii ) \frac{21}{25} \\= \frac{21}{5^{2}}\\= \frac{21\times 2^{2}}{ 2^{2} \times 5^{2}} \\= \frac{ 21\times 4}{10^{2}} \\= \frac{84}{100} \\= 0.84 \: ( Decimal \:form)$

Therefore.,

$\red {\frac{7}{8}} \green {=0.875}$

$\red {\frac{21}{25}} \green {=0.84}$

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