Question

Using appropriate properties, evaluate 4/9×(-3/7) +13/14+(-3/7)×2/9​

Answer 1

To solve : $\frac{4}{9}\times (\frac{-3}{7}) +\frac{3}{14} + (\frac{-3}{7} ) \times \frac{2}{9}$

Solution:-

• To solve the above equation 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,  

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

•  According to above rule we will solve $\frac{4}{9}\times (\frac{-3}{7}) +\frac{3}{14} + (\frac{-3}{7} ) \times \frac{2}{9}$

        $= \frac{4}{9}\times (\frac{-3}{7}) +\frac{3}{14} + (\frac{-3}{7} ) \times \frac{2}{9}$

        $= \frac{-4}{27} + \frac{3}{14} + \frac{-2}{27}$

• LCM = $378$

         $=\frac{-56 + 81 - 294}{378 } \\= \frac{-269}{378} \\= -0.711$  

Hence , answer is $-0.711$ .