The simplified value of $\frac{\frac{1}{

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The simplified value of $\frac{\frac{1}{3}÷ 2+10}{\frac{1}{3}× 2+10}$ is:

Options:

$\frac{61}{64}$

$\frac{61}{24}$

$\frac{1}{384}$

$\frac{31}{24}$

Correct Answer:

$\frac{61}{64}$

Explanation:

$\frac{\frac{1}{3}÷ 2+10}{\frac{1}{3}× 2+10}$

= $\frac{\frac{1}{6}+10}{\frac{2}{3}+10}$

= $\frac{\frac{61}{6}}{\frac{32}{3}}$

= $\frac{61}{64}$