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Popular Algebra >

Combine -2/3p+1/5-1+5/6p

Solution

join

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

Solution

\frac{5 p - 24}{30}

Solution steps

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

Factor out common term

p

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

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

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

Join

p \frac{1}{6} + \frac{1}{5} - 1 : \frac{\frac{1}{6} p \cdot 6 - 6}{6} + \frac{1}{5}

= \frac{\frac{1}{6} p \cdot 6 - 6}{6} + \frac{1}{5}

Cross-cancel common factor:

6

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

Join

\frac{p - 6}{6} + \frac{1}{5} : \frac{5 p - 24}{30}

= \frac{5 p - 24}{30}

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Frequently Asked Questions (FAQ)

What is join-2/3 p+1/5-1+5/6 p ?
The solution to join-2/3 p+1/5-1+5/6 p is (5p-24)/(30)

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