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3-45.

Simplify the following complex fractions.

$\quad \frac { t + \frac { 1 } { t } } { t }$
Step (a):
$\left(\frac{t + \frac{1}{t}}{t}\right)\left(\frac{t}{t}\right)$

$\frac { 1 } { x + \frac { y ^ { 2 } } { x } }$
Step (b):
$\left(\frac{1}{x + \frac{y^2}{x}}\right) \left(\frac{x}{x}\right)$

$\quad \frac { \frac { \sqrt { 3 } } { 2 } } { \frac { 1 } { 2 } }$
Step (c):
$\frac{\sqrt{3}}{2}\cdot\frac{2}{1}$

$\frac { \frac { 1 } { \sqrt { 2 } } } { 2 }$
Step (d):
$\frac{1}{1}\cdot\frac{2}{\sqrt{2}}$

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