Express the recurring decimal 0.2131313 as a fraction

Firstly, identify the recurring portion of the decimal. In this case, it is "13"

set up an equation "x=0.2131313

You need to place the repeating section to the left of the decimal point. To do this, you will need to multiply by 1000. Thus, the above equation becomes: 1000x= 213.131313

now, you need to place the repeating portion to the right off the decimal point. To do this, you need to multiply by 10. This gives you: 10X=2.131313

you have 2 simeltaneous equations now. subtract the second one from the first. this gives you: 1000x-10x = 213.131313-2.131313

990x= 210

X= 210/990

X=21/99

X= 7/33