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Solve: ​2×2+22÷2×2÷12÷12of1212+12of12\frac{2×2+2}{2÷2×2} \div \frac{\frac 12 ÷ \frac12 of \frac12}{\frac12+\frac12 of \frac12}2÷2×22×2+2​÷21​+21​
Question

Solve: ​2×2+22÷2×2÷12÷12of1212+12of12\frac{2×2+2}{2÷2×2} \div \frac{\frac 12 ÷ \frac12 of \frac12}{\frac12+\frac12 of \frac12}​​

A.

418\frac 18​​

B.

318\frac 18

C.

218\frac 18

D.

118\frac 18

Correct option is D

Concept Used:

Solution:
2×2+22÷2×2÷12÷12of1212+12of12\frac{2×2+2}{2÷2×2} \div \frac{\frac 12 ÷ \frac12 of \frac12}{\frac12+\frac12 of \frac12}

(4+2)(1×2)÷(1214)÷(12+14)=62÷(12×41)÷34=3÷234=3÷2×43=3×38=98=118\frac{(4 + 2)}{(1 \times 2)} \div \left(\frac{\frac{1}{2}}{\frac{1}{4}}\right) \div \left(\frac{1}{2} + \frac{1}{4}\right)\\= \frac{6}{2} \div \left(\frac{1}{2} \times \frac{4}{1}\right) \div \frac{3}{4}\\= 3 \div \frac{2}{\frac{3}{4}}\\= 3 \div 2 \times \frac{4}{3}\\= 3 \times \frac{3}{8}\\= \frac{9}{8}\\= 1 \frac{1}{8}​​

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