Complex Fractions

         

Which of the following is equal to

4+144? \frac { 4 + \frac{ 1 } { 4 } } {4 }?

Which of the following is equal to

1(17)? \frac {1 }{ \left( \frac{1}{7}\right)}?

Which of the following is equal to

2+183+28? \frac { 2 + \frac{ 1 } { 8 } } {3 + \frac{ 2 } { 8 }}?

8313=a+1b+1c+1d+12 \frac{83}{13} = a + \frac{1}{ b + \dfrac{1}{ c + \dfrac{1}{ d + \dfrac{1}{2} } } }

The above equation holds for positive integers a,b,c,andda, \: b, \: c, \: \text{and} \: d .

Find a+b+cd a+b+c-d .

Which of the following is equal to

312+2314? \frac{3}{\dfrac{1}{2} + \dfrac{2}{3} - \dfrac{1}{4}}?

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