What is (3/4-2/3)+(1/2+1/3)?

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What is (3/4-2/3)+(1/2+1/3)?

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Answer 1 · 2018-04-06T15:09:51

$A n s w e r = \frac{11}{12}$ $Answer=11/12$

Explanation:

First we are gonna take L.C.M of $4$ $4$ and $3$ $3$ which is $12$ $12$ and then take L.C.M of $2$ $2$ and $3$ $3$ that is $6$ $6$ .
$= (\frac{3}{4} - \frac{2}{3}) + (\frac{1}{2} + \frac{1}{3})$ $=(3/4-2/3)+(1/2+1/3)$
$= (\frac{3 \cdot 3}{4 \cdot 3} - \frac{2 \cdot 4}{3 \cdot 4}) + (\frac{1 \cdot 3}{2 \cdot 3} + \frac{1 \cdot 2}{3 \cdot 2})$ $=((3*3)/(4*3)-(2*4)/(3*4))+((1*3)/(2*3)+(1*2)/(3*2))$
$= (\frac{9 - 8}{12}) + (\frac{3 + 2}{6})$ $=((9-8)/12)+((3+2)/6)$
$= \frac{1}{12} + \frac{5}{6}$ $=1/12+5/6$
Now what we are gonna do is taking L.C.M of $12$ $12$ and $6$ $6$ that is $12$ $12$
$= \frac{1}{12} + \frac{5 \cdot 2}{6 \cdot 2}$ $=1/12+(5*2)/(6*2)$
$= \frac{1}{12} + \frac{10}{12}$ $=1/12+10/12$
$= \frac{1 + 10}{12}$ $=(1+10)/12$
$= \frac{11}{12}$ $=11/12$

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What is (3/4-2/3)+(1/2+1/3)?

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