Question

The value of 1/2 divided by 1/2 of 1/2 / 1/2+1/2 of 1/2 is

Answer 1

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ \frac{\frac{ \frac{1}{2} }{ \frac{1}{2} \: of \: \frac{1}{2} }}{ \frac{1}{2} + \frac{1}{2} \: of \: \frac{1}{2} } }$

EVALUATION

$\displaystyle \sf{ \frac{\frac{ \frac{1}{2} }{ \frac{1}{2} \: of \: \frac{1}{2} }}{ \frac{1}{2} + \frac{1}{2} \: of \: \frac{1}{2} } }$

$\displaystyle \sf{ = \frac{\frac{ \frac{1}{2} }{ \frac{1}{2} \: \times \: \frac{1}{2} }}{ \frac{1}{2} + \big( \frac{1}{2} \: \times \: \frac{1}{2} \big) } }$

$\displaystyle \sf{ = \frac{\frac{ \frac{1}{2} }{ \frac{1}{4} \: }}{ \frac{1}{2} + \frac{1}{4} } }$

$\displaystyle \sf{ = \frac{ \frac{1}{2} \times \frac{4}{1} }{ \frac{2 + 1}{4} } }$

$\displaystyle \sf{ = \frac{ 2}{ \frac{3}{4} } }$

$\displaystyle \sf{ = 2 \times \frac{4}{3} }$

$\displaystyle \sf{ = \frac{8}{3} }$

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