Question

What is 8.63 (3 is repeating) as a fraction? like the 3 in the decimal is repeating

Answer 1

Answer:

777/90

Step-by-step explanation:

These type of numbers are written with bar(straight line) just above/on the repeated digit/digits.

Let 8.63(bar on 3) = a

Multiply both sides by 10:

=> 86.3(bar) = 10a ... (1)

Multiply both sides by 10:

=> 863.3(bar) = 100a

Subtract (1) from this,

863.3(bar) = 100a

- 86.3(bar) = - 10a

777(bar cancelled) = 90a

=> 777 = 90a

=> 777/90 = a = 8.63bar