Question

Simplify -2/3 + 30/6 + -3/2

Answer 1

$\mathfrak{\large{\blue{\underline{\underline{Question}}}}}$

Simplify:

$\dfrac{-2}{3} + \dfrac{30}{6} + \dfrac{-3}{2}$

$\mathfrak{\large{\blue{\underline{\underline{Answer}}}}}$

$\boxed{\large{\bold{\dfrac{17}{6}}}}$

$\mathfrak{\large{\blue{\underline{\underline{Step-by-step-solution}}}}}$

$\dfrac{-2}{3} + \dfrac{30}{6} + \dfrac{-3}{2}$

$= \dfrac{-2}{3} + \dfrac{30}{6} - \dfrac{3}{2}$

Taking LCM

$\dfrac{-4}{6} + \dfrac{30}{6} - \dfrac{9}{6}$

Since the denominators are equal, combine the fractions

$\dfrac{a}{c}\pm \dfrac{b}{c}=\dfrac{a\pm \:b}{c}$

$= \dfrac{-4 + 30 - 9}{6}$

$= \dfrac{30 - 13}{6}$

$= \dfrac{17}{6}$

Answer 2

Answer:

Step-by-step explanation:

-2/3+30/6-3/2

-2/3+5-3/2

Take LCM

-2(2)+5(6)-3(3)/6

-4+30-9/6

30-13/6

17/6

Hope it helps