Question

2(1)/(2)+(-3(1)/(2))+(-2(1)/(3))+(2(1)/(9))

Please explain completely step by step.

9828196999

Answer 1

$\textbf {Hey there, here is the solution.}$

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I believe the question meant to say:

$2\dfrac{1}{2} + \bigg(-3 \dfrac{1}{2} \bigg) + \bigg(-2\dfrac{1}{3} \bigg) + \bigg( 2\dfrac{1}{9} \bigg)$

Lets start by working on the first two terms:

$= 2\dfrac{1}{2} -3 \dfrac{1}{2} + \bigg(-2\dfrac{1}{3} \bigg) + \bigg( 2\dfrac{1}{9} \bigg)$

$= -1 + \bigg(-2\dfrac{1}{3} \bigg) + \bigg( 2\dfrac{1}{9} \bigg)$

Now we work on the next two terms:

$= -1 -2\dfrac{1}{3} + \bigg( 2\dfrac{1}{9} \bigg)$

$= -3\dfrac{1}{3} + \bigg( 2\dfrac{1}{9} \bigg)$

And finally the last the two terms:

$= -3\dfrac{1}{3} + 2\dfrac{1}{9}$

$= -3\dfrac{3}{9} + 2\dfrac{1}{9}$

$= -1\dfrac{2}{9}$

or write it as in improper fraction:

$= -\dfrac{11}{9}$

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⭐$\textbf {Cheers}$⭐