Find the value of the following:^@1 + \dfrac { 1 } { 1 + \dfrac | Math Question and Answer | Edugain Vanuatu

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Find the value of the following:
$1 + \dfrac { 1 } { 1 + \dfrac {1} { 2 } }$

Answer:

$\dfrac { 5 } { 3 }$

Step by Step Explanation:

$1 + \dfrac { 1 } { 1 + \dfrac {1} { 2 } }$ can be simplified as:
$\begin {align} 1 + \dfrac {1} { \dfrac { 2 + 1 } { 2 } } \\ = 1 + \dfrac {1} { \dfrac { 3 } { 2 } } \\ = 1 + \dfrac { 2 } { 3 } \\ = \dfrac { 3 + 2 } { 3 } \\ = \dfrac { 5 } { 3 }\end {align}$
Therefore, the value of $1 + \dfrac { 1 } { 1 + \dfrac {1} { 2 } }$ is $\dfrac { 5 } { 3 }$ .

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