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Simplify : 1 + (1)/(1 + (2)/(2 + (3)/(1 ...

Simplify : `1 + (1)/(1 + (2)/(2 + (3)/(1 + (4)/(5))))`

A

`1 (11)/(17)`

B

`1 (5)/(7)`

C

`1 (6)/(17)`

D

`1 (21)/(17)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Simplify : 1 + (2)/(1 + (3)/(1 + (4)/(5)))

    A
    `(7)/(4)`
    B
    `(4)/(7)`
    C
    `(7)/(5)`
    D
    `(3)/(7)`
  • Simplify : 5 (1)/(3) + 1 (2)/(9) xx (1)/(4) (10 + (3)/(1 - (1)/(5))) is

    A
    `(56)/(77)`
    B
    `(49)/(80)`
    C
    `(2)/(3)`
    D
    `3 (2)/(9)`
  • Simplify : 5(1)/(2) - [2 (1)/(3) div {(3)/(4) - (1)/(2) ((2)/(3) - bar((1)/(6)-(1)/(8)))}]

    A
    `(1)/(2)`
    B
    `(1)/(4)`
    C
    `(1)/(6)`
    D
    `(2)/(3)`
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    Simplify [2 (1)/(3)-1 (1)/(2)] " of " (3)/(5) + 1 (2)/(5) div 2 (1)/(3) A. (1)/(10) B. (3)/(10) C. 1(1)/(10) D. 1

    Simplify : ((1)/(3) + (1)/(4) [(2)/(5) - (1)/(2)])/(1 (2)/(3)"of" (3)/(4) - (3)/(4) "of" (4)/(5))

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    Simplify [3 (1)/(4) + {1 (1)/(4) - (1)/(2) (2 (1)/(2) - bar((1)/(4) - (1)/(6)))}] + ((1)/(2)"of 4" (1)/(3))