Question:
The value of \( 35.7 - \left[ 3 + \frac{1}{3 + \frac{1}{3}} \right] - \left[ 2 + \frac{1}{2 + \frac{1}{2}} \right] \) is:
The value of \( 35.7 - \left[ 3 + \frac{1}{3 + \frac{1}{3}} \right] - \left[ 2 + \frac{1}{2 + \frac{1}{2}} \right] \) is:
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Simplify complex fractions from the inside out.
Updated On: Feb 13, 2026
- \( 30 \)
- \( 34.8 \)
- \( 36.6 \)
- \( 41.4 \)
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The Correct Option is A
Solution and Explanation
Step 1: Simplify the first complex fraction.
\[
3 + \frac{1}{3} = \frac{10}{3}
\]
\[
3 + \frac{1}{\frac{10}{3}} = 3 + \frac{3}{10} = \frac{33}{10} = 3.3
\]
Step 2: Simplify the second complex fraction.
\[
2 + \frac{1}{2} = \frac{5}{2}
\]
\[
2 + \frac{1}{\frac{5}{2}} = 2 + \frac{2}{5} = \frac{12}{5} = 2.4
\]
Step 3: Substitute the simplified values back into the original expression.
\[
35.7 - 3.3 - 2.4
\]
Step 4: Perform the subtraction.
\[
35.7 - 3.3 = 32.4
\]
\[
32.4 - 2.4 = 30.0
\]
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