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Ket [755]
3 years ago
11

Whats 5.84 repeating in simplest form

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

x=5.848484...\qquad|\text{multiply both sides by 100}\\\\100x=584.848484...\\\\100x-x=584.848484...-5.848484...\\\\99x=579\qquad|\text{divide both sides by 99}\\\\x=\dfrac{579}{99}\\\\x=5\dfrac{84}{99}\\\\x=5\dfrac{84:3}{99:3}\\\\x=5\dfrac{28}{33}\\\\Answer:\ 5.\overline{84}=5\dfrac{28}{33}

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