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Answered

Which of the following rational numbers is equal to 4 point 5 with bar over 5?


40 over 9, 41 over 9, 42 over 9, 43 over 9 40 over 9 41 over 9 42 over 9 43 over 9

Verified Answer :

texaschic101

41/9 = 4.5 with a bar over 5 because it is repeating

JeanaShupp

Answer: \(\dfrac{41}{9}\)

Step-by-step explanation:

Let \(x = 4.\overline{5}\)

\(\Rightarrow x=4.5555....----------------(1)\)

Now, Multiply 10 to both the sides , we get

\(10x=45.5555...-------------(2)\)

Subtract (1) from (2) , we get

\(10x-x=45.5555...-4.5555.....\)

\(\Rightarrow\ 9x=41\)

Divide 9 on both the sides , we get

\(x=\dfrac{41}{9}\)



Hence, the required rational number is \(\dfrac{41}{9}\)

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