x = 0.045 (45 recurring). Prove algebraically that x can be written as 1/22
x=0.045 (45 recurring)
10x = 0.45 (45 recurring)
100x = 4.54 (54 recurring)
1000x = 45.45 (45 recurring)
To get rid of the decimals:
1000x-10x = 45.45 - 0.45
990x = 45
x = 45/990
x = 9/198 (simplify by dividing by 5)
x = 1/22 (simplify by dividing 9)
JT
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