Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step by step using precise LaTeX formatting:
Step 2:: Define the repeating decimal
Let $$x = 0.8\overline{3}$$ (where the bar indicates the repeating part)
Step 3:: Multiply both sides by 10 to shift the decimal
10x = 8.3\overline{3}
Step 4:: Subtract the original equation from the new equation
9x = 7.5
x = 0.8\overline{3}
Step 5:: Solve for x
x = \frac{7.5}{9}
Step 6:: Simplify the fraction
x = \frac{75}{90}
x = \frac{5}{6}
Final Answer
Verification: \frac{5}{6} = 0.8333... \checkmark
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students