Question:
Find the value of $\frac{1}{1 + \frac{1}{3 - \frac{4}{3 - \frac{1}{2 + \frac{1}{3 - \frac{1}{2}}}}}} + \frac{3}{3 - \frac{4}{3 + \frac{1}{2 - \frac{1}{2}}}}$
Find the value of $\frac{1}{1 + \frac{1}{3 - \frac{4}{3 - \frac{1}{2 + \frac{1}{3 - \frac{1}{2}}}}}} + \frac{3}{3 - \frac{4}{3 + \frac{1}{2 - \frac{1}{2}}}}$
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Always work from the innermost fraction outwards in complex nested fraction problems.
Updated On: Aug 6, 2025
- $\frac{13}{7}$
- $\frac{15}{7}$
- $\frac{11}{21}$
- $\frac{17}{28}$
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The Correct Option is B
Solution and Explanation
Simplify each nested fraction step-by-step, then sum results to get $\frac{15}{7}$.
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