SImplify this expression: ${[(1+5/4)−(1+3/2)+(2+1/4)]−1/6+5/2}+(5/3+1)$ ?

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Answer 1 · 2016-04-26T02:35:16

$7$

${[(1+5/4)-(1+3/2)+(2+1/4)]-1/6+5/2}+(5/3+1)$

= ${[(4/4+5/4)-(2/2+3/2)+(8/4+1/4)]-1/6+5/2}+(5/3+3/3)$

= ${[9/4-5/2+9/4]-1/6+5/2}+8/3$

= ${[9/4-10/4+9/4]-1/6+5/2}+8/3$

= ${8/4-1/6+5/2}+8/3$

= ${24/12-2/12+30/12}+32/12$

= $52/12+32/12$

= $84/12=7$

SImplify this expression: {[(1+5/4)−(1+3/2)+(2+1/4)]−1/6+5/2}+(5/3+1){[(1+5/4)−(1+3/2)+(2+1/4)]−1/6+5/2}+(5/3+1)?