Question

Simplify 2÷ { 1/ 3 + 1/ 4 + 1/ 5 ÷ ( 4/ 5 − 1/ 2 )} is ​

Answer 1

Answer:

Step-by-step explanation:

2/{1/3+1/4+1/5/(8-5/10)}

2/{/20+15+12/60/3/10)}

2/{47/60/3/10}

2/{47/60*10/3}

2/47/18

2*18/47

36/47

Answer 2

To solve : $2\div [{\frac{1}{3} + \frac{1}{4} + \frac{1}{5} \div ( \frac{4}{5} -\frac{1}{2})]$

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 .
• $2\div [{\frac{1}{3} + \frac{1}{4} + \frac{1}{5} \div ( \frac{4}{5} -\frac{1}{2})]$  

       $= 2\div[\frac{20 + 15 +12}{60} \div(\frac{4}{5}-\frac{1}{2} )] \\\= 2\div[ \frac{47}{60} \div(\frac{8-5 }{10})]\\\= 2\div [\frac{47}{60}\div\frac{3}{10} ]\\\= 2\div [\frac{47}{60} \times \frac{10}{3} ]\\\= 2\div\frac{47}{18} \\\=2\times \frac{18}{47} \\\\=\frac{36}{47}$  

Hence , value of given expression is $\frac{36}{47}$ .