Question

without actual division determine whether the fraction is terminating or non terminating.give reason 13/50

Answer 1

$\frac{any \: number}{2 {}^{n} 5 {}^{m} }$

the denominator should always be in this form to be terminating

now if we elaborate the denominator here we get

$\frac{13}{5 \times 5 \times 2}$

$\frac{13}{5 {}^{2} 2 {}^{1} }$

Therefore we can say that this fraction will terminate

(Your answer ends here ) {further it's just for understanding}

If we are asked to write this in decimal form just multiple 2 both ij numerator and denominator

$\frac{2 \times 13}{5 \times 5 \times 2 \times 2}$

$\frac{36}{100}$

0.36

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