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ycow [4]
4 years ago
9

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

Mathematics
1 answer:
Zolol [24]4 years ago
8 0

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=\dfrac{478:2}{990:2}\\\\\boxed{x=\dfrac{239}{495}}\\\\Answer:\ \boxed{0.4\overline{82}=\dfrac{239}{495}}

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