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
Here's how to write the decimal number 0.8333333... as a rational number: Step 1: Set the decimal equal to a variable. Let x = 0.8333333... (Equation 1) Step 2: Multiply to shift the non-repeating part to the left of the decimal point. The non-repeating part is '8'. Multiply Equation 1 by 10. 10x = 8.3333333... (Equation 2) Step 3: Multiply to shift one full repeating block to the left of the decimal point. The repeating digit is '3'. Multiply Equation 2 by 10. 100x = 83.3333333... (Equation 3) Step 4: Subtract Equation 2 from Equation 3 to eliminate the repeating decimal part. 100x - 10x = 83.3333333... - 8.3333333... 90x = 75 Step 5: Solve for x. x = (75)/(90) Step 6: Simplify the fraction. Both the numerator and the denominator are divisible by 15. x = (75 ÷ 15)/(90 ÷ 15) = (5)/(6) The decimal number 0.8333333... as a rational number is: (5)/(6) Last free one today — make it count tomorrow, or type /upgrade for unlimited.