Question

What is the simplest fraction form of 0.030303

Answer 1

Step-by-step explanation:

1/33

1/3 is 0.33333....

1/30 is 0.03333...

1/300 is 0.003333...

and so on.

that was in the initial thought.

in oder to interrupt the 1/3=0.3333... series and interlace the 3s with 0s, I had to divide by 10, but also by further 10% (in total 11) of that to create a 0.0303 sequence.

I initially thought that I would have to add then 10% of that and then 10% if that, but no, the one step is sufficient.

so, it turned out to be 1/3 / 11 = 1/33.

Answer 2

$\frac{1030303}{1000000}$

Step-by-step explanation:

To write 1.030303 as a fraction you have to write 1.030303 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

$1.030303 = \frac{1.030303}{1} \\ \\ \frac{1.030303}{1} = \frac{10.30303}{10} \\ \\ \frac{103.0303}{100 } = \frac{1030.303}{1000} = \frac{10303.03}{10000} \\ \\ = \frac{103030.3}{100000} = \frac{1030303}{1000000}$

and finally we have 1.030303 as a fraction equals

$= \frac{1030303}{1000000}$

hope it helps