algebra

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I have to simplify this please help how to solve the problem involving rational algebraic expressions

3 over a+2a over 3a=11 over 15

  • algebra -

    If your expression mean :

    3 / a + 2 a / 3 a = 11 / 15


    Then :

    3 / a + 2 a / 3 a = 11 / 15

    you can write like :

    3 / a + 2 / 3 = 11 / 15

    3 / a + 10 / 15 = 11 / 15

    _____________________________


    ( Becouse 2 / 3 = 10 / 15 )

    _____________________________

    Subtract 10 / 15 to both sides

    3 / a + 10 / 15 - 10 / 15 = 11 / 15 - 10 / 15

    3 / a = 1 / 15 Multiply both sides by a

    3 a / a = 1 * a / 15

    3 = a / 15 Multiply both sides by 15

    3 * 15 = 15 a / 15

    45 = a

    a = 45

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