This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
Step 1: Set the given decimal equal to a variable. Let x be the decimal number. x = 0.272727... (1) Step 2: Multiply the equation by a power of 10 to shift the repeating part. Since two digits (27) are repeating, multiply both sides of equation (1) by 100. 100x = 27.272727... (2) Step 3: Subtract equation (1) from equation (2). Subtracting the two equations eliminates the repeating decimal part. 100x - x = 27.272727... - 0.272727... 99x = 27 Step 4: Solve for x. Divide both sides by 99. x = (27)/(99) Step 5: Simplify the fraction. Both the numerator and the denominator are divisible by 9. x = (27 ÷ 9)/(99 ÷ 9) x = (3)/(11) The decimal 0.272727... expressed as a fraction is (3)/(11). 3 done, 2 left today. You're making progress.