What is the positive difference between 516\frac{5}{16}165 and its reciprocal?

Correct option is C

Given:

Number $= \frac{5}{16}$

Solution:

Reciprocal of $\frac{5}{16} = \frac{16}{5}$

$\left| \frac{16}{5} - \frac{5}{16} \right| = \left| \frac{(16 \times 16 - 5 \times 5)}{80} \right| = \left| \frac{256 - 25}{80} \right| = \frac{231}{80} = 2\frac{71}{80}$

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What is the positive difference between $\frac{5}{16}$ and its reciprocal?

2 $\frac{73}{80}$

2 $\frac{61}{80}$

2 $\frac{71}{80}$

2 $\frac{69}{80}$

Correct option is C

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What is the positive difference between 516\frac{5}{16}165​​ and its reciprocal?

27380\frac{73}{80}8073​​​

26180\frac{61}{80}8061​​

27180\frac{71}{80}8071​​

26980\frac{69}{80}8069​​

Correct option is C

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What is the positive difference between $\frac{5}{16}$ and its reciprocal?

2 $\frac{73}{80}$

2 $\frac{61}{80}$

2 $\frac{71}{80}$

2 $\frac{69}{80}$