Question

What is 0.387387397… as a fraction?

Answer 1

`0.387* = (387)/(1000)`

*The decimal that you provided has been rounded down to the nearest thousandths digit (third number from the decimal point).

Step-by-step explanation:

Step 1: The number is written down as a fraction of one:
`0.387 = (0.387)/(1)`

Step 2: Multiply both the numerator (top) and the denominator (bottom) by 10 for every number after the decimal point. Since there are three numbers after the decimal point, the numerator and denominator are multiplied by 1000:

`((0.387 x 1000))/((1 x 1000)) = (387)/(1000)`

The fraction cannot be reduced any further than this, as it already is reduced.

Answer 2

43/111

Step-by-step explanation:

I assume you mean 0.387387387…

Let x = 0.387387387...

then 1000x = 387.387387387...

Subtract the first equation above from the second equation.

1000x = 387.387387387...

- x = 0.387387387...

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999x = 387

x = 387/999

Divide teh numerator and denominator by 9.

x = 43/111