Question

Combine like terms to create an equivalent expression. -\dfrac23p+\dfrac15-1+\dfrac56p− 3 2 ​ p+ 5 1 ​ −1+ 6 5 ​ p

Answer 1

Answer:

An equivalent expression is

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

or

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

Step-by-step explanation:

The correct question is

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

we have

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

Combine like terms

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

Remember that

$-\frac{2}{3}p=-\frac{4}{6}p$ ----> are equivalent fractions

$-1=-\frac{1}{1}= -\frac{5}{5}$ ----> are equivalent fractions

substitute in the expression

$(-\frac{4}{6}p+ \frac{5}{6}p)+(\frac{1}{5} -\frac{5}{5})$

$(\frac{1}{6}p)+(-\frac{4}{5})$

$\frac{1}{6}p-\frac{4}{5}=\frac{5p-24}{30}$