If the numerator and the denominator of a fraction are each increased by 200% (i.e., tripled), the resulting fraction is 14/5. What was the original fraction?

Introduction:
Increasing both numerator and denominator by the same percentage multiplies each by the same factor and does not change the value of the fraction. Therefore, the original fraction equals the resulting fraction when both parts are scaled equally.

Given Data / Assumptions:

• Original fraction = N/D.
• Increase numerator and denominator by 200% → multiply each by 3.
• Resulting fraction = (3N)/(3D) = 14/5.

Concept / Approach:
Because (3N)/(3D) simplifies to N/D (for nonzero D), the original fraction equals 14/5 exactly. No further computation is necessary beyond understanding proportional scaling.

Step-by-Step Solution:

Verification / Alternative check:
Pick any N/D = 14/5; tripling both yields 42/15, which reduces back to 14/5; value unchanged.

Why Other Options Are Wrong:
7/10, 28/10 (which reduces to 14/5 but is not the simplified statement), 4/7, 13/12 do not match the unchanged value condition as stated.

Common Pitfalls:
Misinterpreting “increase by 200%” as adding 2 to the fraction rather than multiplying numerator and denominator by 3.

Final Answer:
14/5