Im doing combining like terms with rational coefficients and i have a problem that says 11/12 – 1/6q + 5/6q – 1/3

Im doing combining like terms with rational coefficients and i have a problem that says 11/12 - 1/6q + 5/6q - 1/3

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  1. Ah yes, one of my favorite topics.

    Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing [tex]\frac{7}{8}m-2m[/tex] first. Afterwards, do [tex]\frac{9}{10}-\frac{3}{5}[/tex]

    Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). [tex]\frac{9}{10} -\frac{6}{10}=\frac{3}{10}[/tex]

    Step 3: 1.125+3/10

  2. -  0. 75 k - 2 .

    Step-by-step explanation:

    Given  : 0.25k + 1.5 − k − 3.5

    To find : Combining like terms with rational coefficients.

    Solution : We have given 0.25k + 1.5 − k − 3.5.

    On combining like term

    0.25 k - k + 1.5 - 3.5.

    -  0. 75 k - 2 .

    Therefore, -  0. 75 k - 2 .

  3. Step-by-step explanation:

    [tex]Combining like terms with rational coefficients 1.17-0.07a+(-3.92a)[/tex]
    [tex]Combining like terms with rational coefficients 1.17-0.07a+(-3.92a)[/tex]
    [tex]Combining like terms with rational coefficients 1.17-0.07a+(-3.92a)[/tex]

  4. [tex]- \frac{1}{2} (-3y+10)[/tex] 

    = [tex]- \frac{1}{2} (-3y) + (-\frac{1}{2})(10)[/tex]

    = [tex]\frac{3}{2}y -\frac{10}{2}[/tex]

    = [tex]\frac{3}{2}y -5[/tex]

  5. Expanding form

    [tex]\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}[/tex]

    [tex]1-\frac{9}{7}n[/tex]

    Step-by-step explanation:

    We are given that [tex]\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})[/tex]

    We have to expand the terms and combine like terms

    [tex]\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}[/tex]

    Expanding form

    [tex]\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}[/tex]

    In the given expression like terms are [tex]\frac{1}{7}[/tex]and [tex]\frac{6}{7}[/tex]

    [tex]\frac{1}{7}+\frac{6}{7}-\frac{9}{7}n[/tex]

    [tex]\frac{1+6}{7}-\frac{9}{7}n[/tex]

    [tex]\frac{7}{7}-\frac{9}{7}n[/tex]

    [tex]1-\frac{9}{7}n[/tex]

  6. = 11/12 - 1/6q + 5/6q - 1/3
    to add like terms, we must first convert 1/3 to a common denominator with 11/12

    = 11/12 - 1/6q + 5/6q - 4/12
    combine like terms

    = (-1/6q + 5/6q) + (11/12 - 4/12)
    add/subtract inside each parentheses

    = 4/6q + 7/12
    simplify 4/6 by 2

    = 2/3q + 7/12

    ANSWER: 2/3q + 7/12

    Hope this helps! 🙂

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