Please give me the answer to the GCSE Maths Question Prove that 0.565656.... can be expressed as 56/99.

GCSE Maths Help >>>>> Show you can prove that 0.565656 .... can be expressed as 56/99. | 1) Let x=0.565656...
2) Thus 100x=56.565656...
3.) By subtracting equation 1) (2) from) yields:
99x=56
4.) Rearrange the order to make the x:
x=56/99. Also x=0.565656... (from 1)
Therefore 0.565656 ...=56/99
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