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Simplify : ((1)/(3) + (1)/(4) [(2)/(5) -...

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

A

`37/78`

B

`37/13`

C

`74/78`

D

`74/15`

Text Solution

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The correct Answer is:
A
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Knowledge Check

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

    A
    `(1)/(63)`
    B
    `(23)/(40)`
    C
    `(23)/(55)`
    D
    `(23)/(63)`

  • 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)`

  • Simplify : 1(4)/(7)+1(3)/(5)+1(1)/(3)

    A
    `5(47)/(105)`
    B
    `4(58)/(105)`
    C
    `4(53)/(105)`
    D
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    (-(1)/(2) - (2)/(3) + (4)/(5) - (1)/(3) + (1)/(5) + (3)/(4))/((1)/(2) + (2)/(3) - (4)/(3) + (1)/(3) - (1)/(5) - (4)/(5)) is simplified to

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