Question

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

Answer 1

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

$- \dfrac{2}{3}p+ \dfrac{1}{5}-1+ \dfrac{5}{6}p= \\ \\ \\ - \dfrac{2}{3}p+ \dfrac{5}{6}p+ \dfrac{1}{5}-1= \\ \\ \\ - \dfrac{2*2}{3*2}p+ \dfrac{5}{6}p+ \dfrac{1-5}{5}= \\ \\ \\ - \dfrac{4}{6}p+ \dfrac{5}{6}p+ -\dfrac{4}{5}= \boxed{ \dfrac{1}{6}p -\dfrac{4}{5}}$

Answer 2

Move the expression around so variables are with variables and numbers with numbers: 5/6p-2/3p+1/5-1

create a common denominator for variables and numbers: 5/6p-4/6p+1/5-5/5

simplify: 1/6p-4/5