Question

add -2/3 + [3/5 +(-5/6)]

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Sum of $\frac{-2}{3}+ [(\frac{3}{5})+ (\frac{-5}{6}) ]$  is $\frac{-9}{10}$  .

Step-by-step explanation:

To solve : $\frac{-2}{3}+ [(\frac{3}{5})+ (\frac{-5}{6}) ]$

Solution:-

• To solve the above expression we will follow BODMAS rule.
• It is the rule used to remember the order of operations to be followed while solving expressions in mathematics.
• Where,  

        $\begin{array}{l} \\B= brackets \\\mathrm{O}=\text { order of powers or rules } \\\mathrm{D}=\text { Division } \\\mathrm{M}=\text { multiplication } \\\mathrm{A}=\text { addition } \\\mathrm{S}=\text { subtraction }\end{array}$

• Also we know that , $( + )\times (-)= -$
• According to above rule we will solve .  

         $\frac{-2}{3}+ [(\frac{3}{5})+ (\frac{-5}{6}) ] \\\\= \frac{-2}{3} + [ \frac{3\times 6}{5\times6} + (\frac{-5\times 5}{6\times5 }) ] \\\\ = \frac{-2}{3} + [ \frac{18}{30} + (\frac{-25}{30} )]\\\\ = \frac{-2}{3} + [ \frac{18-25}{30} ]\\\\= \frac{-2}{3} + \frac{-7}{30} \\\\= \frac{-20 - 7}{30}\\\\= \frac{-27}{30} \\\\= \frac{-9}{10}$