Check whether 85-125 is terminating or non terminating-

Here, Rational number = nbsp;85/125 Since, the highest common factor of 85 and 125 is 5. So, 85/125 = nbsp;85 ÷ 5/125 ÷ 5 = nbsp;17/25 nbsp; nbsp; The ...

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Standard IX

Mathematics

Rational Numbers

Check whether...

Question

Check whether $\frac{85}{125}$ is terminating or non terminating?

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Solution

Here,
Rational number = $\frac{85}{125}$
Since, the highest common factor of 85 and 125 is 5.
So,
$\frac{85}{125}$ = $\frac{85 \div 5}{125 \div 5}$ = $\frac{17}{25}$
Therefore, decimal expansion of $\frac{85}{125}$ is 0.68.
Since, 0.68 has a finite number of decimal places, it is a terminating decimal number.

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Check whether 85125 is terminating or non terminating?

Here, Rational number = 85125 Since, the highest common factor of 85 and 125 is 5. So, 85125 = 85÷5125÷5 = 1725 Therefore, decimal expansion of 85125 is 0.68. Since, 0.68 has a finite number of decimal places, it is a terminating decimal number.

Check whether $\frac{85}{125}$ is terminating or non terminating?