Question

Decimal form 7/8 without actual division

Answer 1

$\huge{ \bold{ \red{SOLUTION:-}}}$

$To \: find \: the \: decimal \: expansion \\ of \frac{7}{8}$

$First \: factorise \: the \: denominator$$in \: its \: prime \: factors$

$= > \frac{7}{8} \\ = > \frac{7}{2 ^{3} } \\ Multiply \: and \: divide \: it \: by \: {5}^{3} \\ = > \frac{7 \times {5}^{3} }{ {2}^{3 \times {5}^{3} } } \\ = > \frac{7 \times 125}{( {2 \times 5})^{3} } \\ = > \frac{875}{ {10}^{3} } \\ = > \frac{875}{1000} \\ = > 0.875$

$\huge{\boxed{ \mathtt{\pink{anSwer = 0.875 }}}}$

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