Question

evaluate..2/3 × [3/4 +2/5 + 5/2]​

Answer 1

To evaluate : $\frac{2}{3}\times [\frac{3}{4} + \frac{2}{5}+ \frac{5}{2}]$

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 .
• $\frac{2}{3}\times [\frac{3}{4} + \frac{2}{5}+ \frac{5}{2}]$  

        $= \frac{2}{3} [\frac{15 +8 +50}{20} ]\\\\= \frac{2}{3}[\frac{73}{20} ] \\\\=\frac{73}{3\times 10}\\\\= \frac{73}{30}$

Hence , on evaluating above expression we get answer as $\frac{73}{30}$ .

Answer 2

Answer:

Let's Use Bodmas to evaluate this equation:

2/3×[3/4+2/5+5/2]

=

$\frac{2}{3} \times \ \frac{15 + 8 + 50}{20}$

$= \frac{2}{3} \times \frac{73}{20}$

$= \frac{146}{60} = \frac{73}{30}$

Hence, the answer obtained after evaluation of this expression is 73/30

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