Question

Question #6b5ee

Answer 1

`3139/5000`

Explanation:

We know that `0.6278` can be written as `0.6278/1` since division by 1 does not change its value.

Now, if we multiply the numerator and the denominator by the same number, the value does not change (since we are basically multiplying it by 1). Therefore, we should multiply `0.6278/1` by some number so that there are no decimal places in the numerator. This can be achieved if we multiply it by 10000 (the number of zeros is equal to the number of decimals). This gives `0.6278/1*10000/10000=6278/10000`.

However, we need to see if they can be reduced. We factorize them:
`6278=2*43*73`
`10000=2*2*2*2*5*5*5*5`

The common factor is 2.

Thus, we can reduce the fraction by dividing the numerator and the denominator by 2: `3139/5000`.