Question

simplify the following expretion
$(\frac{ - 4}{9} + \frac{2}{3} ) \times ( \frac{11}{15} - \frac{2}{5} )$
full explanation​

Answer 1

Answer:

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Answer 2

Given: The equation is$\left(\frac{-4}{9}+\frac{2}{3}\right) \times\left(\frac{11}{15}-\frac{2}{5}\right)$.

We have to simplify the above equation.

By using the Bodmas rule, we are solving the above equation.

As we know that the Bodmas rule is used to remember the order of operations to be followed while solving expressions in mathematics.

Where,

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

We are solving in the following way:

We have,

$\left(\frac{-4}{9}+\frac{2}{3}\right) \times\left(\frac{11}{15}-\frac{2}{5}\right)$

$=>(\frac{-4\times3+2\times9}{9\times3} )\times(\frac{11\times5-15\times2}{15\times5}\\\\=>\frac{-12+18}{27} \times\frac{55-30}{75}\\\\=>\frac{6}{27} \times\frac{25}{75} \\\\=>\frac{6}{27} \times\frac{1}{3} \\\\=>\frac{6}{81}\\\\=>\frac{2}{27}$

Solving the above equation further we get,

$0.0740$

Hence, the solution of the equation is$0.0740$.