Question

simplify : 4-[2 1/2 - {1/3 + (1/6 + 1/4 - 1/12)}]
a 2 1/7
b 5 1/7
c 2 1/6
d all of these​

Answer 1

$\large\mathbf{Answer❤}$

$\frac{5}{2}$

= $4-\:[2$ $\frac{1}{2}$ -{$\frac{1}{3}$ +($\frac{1}{6}$ + $\frac{1}{4}$ -$\frac{1}{12}$)}]${ Reciprocal \: results \: into \: negative \: signs }$

=$4-$ $\frac{5}{2}$ {${ -3 \: +$ (${ -6\: -4 \: +12$)}]

=${ 4- \: [ \: [tex]\frac{5}{2}$ -\: ( \: -3+2 }[/tex]

=${ 4- \: [ \: [tex]\frac{5}{2}$ \: -1 }[/tex]

=${ 4- \: [ \: [tex]\frac{5}{2}$ - -1 }[/tex]

=${ 4- \: [ \: [<u>tex]\frac{5-2</u>}{2}$ }[/tex]

=${ 4-[tex]\frac{3}{2}$[/tex]

=$\frac{5}{2}$