Question

Write greatest unit fractions that are repeating decimals. Then express each fraction as a decimal.

Answer 1

Our repeating decimal would be= 0.5555….
Let’s give 0.5555….. repeating decimal a variable of x:
x= 0.5555…. or 0.5(move 1 point to the right)
So ,10x = 5.5555 or 5.5

Now, Let’s do subtraction:
10x = 5.5555… or 5.5  
-   x =  0.5555… or 0.5
 9x  = 5.0            or 5.0

To get a fraction, provide a denominator the same with the numerator of variable x which is 9. Then divide the difference:
9x = 5.0  
9        9 Therefore, x = 5
                                     9