Answer:
6/11
Explanation:
(Spaces between steps for better understanding)
To convert the recurring decimal 0.54 with bar to a simplified fraction, we can use the following steps:
Step 1: Let's represent the recurring decimal 0.54 with bar as x.
x = 0.54 (with bar and it can't be represented as it violates terms)
Step 2: Multiply both sides of the equation by 100 to move the decimal point to the right:
100x = 54.54 (with bar)
Step 3: Subtract the equation obtained in Step 1 from the equation obtained in Step 2 to eliminate the recurring part:
100x - x = 54.54 (with bar) - 0.54 (with bar)
99x = 54
Step 4: Divide both sides of the equation by 99 to solve for x:
x = 54/99
Step 5: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 9 in this case:
x = (54/9) / (99/9)
x = 6/11
Therefore, the recurring decimal 0.54 with bar can be simplified to the fraction 6/11.