What is the decimal form of 6/8?

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What is the decimal form of 6/8?

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Answer 1 · 2016-04-07T16:58:24

$6/8=0.75$

Explanation:

To convert a fraction into decimal, one needs to first make the denominator a power of $10$ . It is easy if denominator's only prime factors are $2$ and $5$ . As one can multiply by $5$ s and $2$ 's to get the same.

Here we have $8=2xx2xx2$ so do we need to multiply by $5xx5xx5$ . But as $2$ is also a factor of numerator, one $2$ will cancel out and we need to multiply by $5xx5$ only.

Hence $6/8=(cancel2xx3xx5xx5)/(cancel2xx2xx2xx5xx5)$

= $75/100=0.75$

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What is the decimal form of 6/8?

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