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NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

Simplify: (2/7 + 3/5) ÷ (2/5 + 2/7)

A
31/24
B
24/31
C
26/25
D
12/13
Result Summary
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APEDIA

NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
Simplify: (2/7 + 3/5) ÷ (2/5 + 2/7)
Correct Answer
31/24
Bracket Simplification: According to the strict order of operations, the expressions inside the parentheses must be solved first. For (2/7 + 3/5), the common de......
💡 Analysis & Explanation
Bracket Simplification
According to the strict order of operations, the expressions inside the parentheses must be solved first. For (2/7 + 3/5), the common denominator is 35, yielding (10 + 21)/35 = 31/35.
Second Bracket Calculation
For (2/5 + 2/7), the common denominator is also mathematically 35, yielding (14 + 10)/35 = 24/35.
Division Execution
Dividing the two resulting fractions (31/35) ÷ (24/35) is fundamentally equivalent to multiplying by the reciprocal: (31/35) * (35/24). The 35s in the numerator and denominator cancel out perfectly.
Conclusion
The fully simplified final fraction is accurately derived as 31/24.