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Simplify the following.

2.2×0.2÷(0.4×12)12×4(1.040.2×0.2)2.2\times{0.2}\div(0.4\times{\frac{1}{2}})-\frac{1}{2}\times{4}(1.04-0.2\times{0.2})

A0.5

B0.2

C0.3

D0.6

Answer:

B. 0.2

Read Explanation:

Follow BODMAS rule to solve this question, as per the order given below, 

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Calculation:

2.2×0.2÷(0.4×12)12×4(1.040.2×0.2)2.2\times{0.2}\div({0.4}\times\frac{1}{2})-\frac{1}{2}\times4(1.04-0.2\times{0.2})

=2.2×0.2÷(410×12)12×4(1.040.04)=2.2\times{0.2}\div(\frac{4}{10}\times{\frac{1}{2}})-\frac{1}{2}\times4(1.04-0.04)

=2.2×0.2÷(410×12)12×4×1=2.2\times0.2\div(\frac{4}{10}\times{\frac{1}{2}})-\frac{1}{2}\times{4}\times{1}

=2.2×0.2÷(15)2=2.2\times{0.2}\div(\frac{1}{5})-2

=2.2×0.2×52=2.2\times{0.2}\times{5}-2

=2.2×12=2.2\times{1}-2

=0.2=0.2

2.2×0.2÷(0.4×12)12×4(1.040.2×0.2)=0.22.2\times{0.2}\div({0.4}\times\frac{1}{2})-\frac{1}{2}\times4(1.04-0.2\times{0.2})=0.2


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