Combine like terms to create an equivalent expression −2/3p+1/5−1+5/6p

Question

Combine like terms to create an equivalent expression

−2/3p+1/5−1+5/6p

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Emery 3 days 2021-09-12T14:26:02+00:00 1 Answer 0

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    2021-09-12T14:27:29+00:00

    Answer:

    \frac{1}{6}p-\frac{4}{5}

    Step-by-step explanation:

    -\frac{2}{3}p+\frac{1}{5}  -1+\frac{5}{6} p

    You can separate the expression into two so that it is easier to understand and solve.

    -\frac{2}{3} p+\frac{5}{6}p

    \frac{1}{5}-1

    Make sure each expression has fractions with common denominators.

    -\frac{2}{3} p+\frac{5}{6}p\\\frac{2}{2} (-\frac{2}{3} p)+\frac{5}{6}p\\-\frac{4}{6} p+\frac{5}{6}p

    \frac{1}{5}-1\\\frac{1}{5}-1(\frac{5}{5})\\ \frac{1}{5}-\frac{5}{5}

    Now you can combine like factors.  

    -\frac{4}{6} p+\frac{5}{6}p\\\frac{1}{6} p

    \frac{1}{5}-\frac{5}{5}\\-\frac{4}{5}

    After you have combined like factors, you can add the two expressions together.

    \frac{1}{6}p-\frac{4}{5}

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45:7+7-4:2-5:5*4+35:2 =? ( )