Question

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

Answer 1

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

Answer 2

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 $\dfrac{41}{9}$