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What is 0.482 repeating as a simplified fraction? with the 82 reapeating

2 Answers

4 votes

Answer:0.482 82 repeats forever

the answer is 239/495

Explanation:

User Dasdasdasdasd
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x=0.4828282...\qquad\text{multiply both sides by 10}\\\\10x=4.82828282...\qquad\text{multiply both sides by 100}\\\\1000x=482.828282...\qquad\text{Make a difference}\\\\1000x-10x=482.828282...-4.828282...\\\\990x=478\qquad\text{divide both sides by 990}\\\\x=(478:2)/(990:2)\\\\\boxed{x=(239)/(495)}\\\\Answer:\ \boxed{0.4\overline{82}=(239)/(495)}

User Mcastro
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