Question

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

Answer 1

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.

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