Question

10+1/10+1/10...find value

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Answer 1

Answer:

10 1/5

Step-by-step explanation:

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Answer 2

$\red {\boxed{ \star step - by - step\: explanation\star}}$

$= 10 + \frac{1}{10 + \frac{1}{10} }$

$= 10 + \frac{1}{ \frac{10}{1} + \frac{1}{10} }$

$= 10 + \frac{1}{ \frac{10 \times 10}{1 \times 10} + \frac{1}{10} }$

$= 10 + \frac{1}{ \frac{100}{10} + \frac{1}{10} }$

$= 10 + \frac{1}{ \frac{100 + 1}{10} }$

$= 10 + \frac{1}{ \frac{101}{10} }$

$= 10 + 1 \times ( \frac{10}{101} )$

$= 10 + \frac{10}{101}$

$= \frac{10}{1} + \frac{10}{101}$

$= \frac{10 \times 101}{1 \times 101} + \frac{10}{101}$

$= \frac{1010}{101} + \frac{10}{101}$

$= \frac{1010 + 10}{101}$

$= \frac{1020}{101}$

$= 10 \frac{10}{101}$

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