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Math Help - Grade 9 algebra with fractions

  1. #1
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    Grade 9 algebra with fractions

    I don't know how to answer these questions *please show work so i can understand*.

    1) 1/3 (3a + 2) + 1/4 (4a - 2)
    2) 1/2 (x - 2y) + 1/3 (3y - 2x)
    3) 2/3 (3m - 2) - 3/4 (8m- 2)
    4) - 1/4 (4u - 3v) - 3/5 (6u - 10v)
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  2. #2
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    Quote Originally Posted by josh16 View Post
    I don't know how to answer these questions *please show work so i can understand*.

    1) 1/3 (3a + 2) + 1/4 (4a - 2)
    Use the distributive property: \frac{1}{3}\times3a+\frac{1}{3}\times2+\frac{1}{4}  \times4a-\frac{1}{4}\times2

    Thus: a+\frac{2}{3}+a-\frac{2}{4}

    then: 2a+\frac{2}{3}-\frac{1}{2}

    Find the common denominator: \frac{12a}{6}+\frac{4}{6}-\frac{3}{6}

    Subtract to get: \frac{12a}{6}+\frac{1}{6}

    Add: \frac{12a+1}{6}

    Which can be rewritten as (if you want): \frac{1}{6}(12a+1)
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