Question

Simplify and express the sum as mixed fraction if possible .
$a) \: \frac{7}{9} + \frac{3}{9} + \frac{4}{9}$
$b) \: \frac{ - 5}{12} + \frac{7}{12} + \frac{ -11 }{12}$
$c) \: 3 + \frac{ - 1}{2} + \frac{ - 5}{8}$
$d) \: \frac{ - 2}{5} + \frac{3}{15} - \frac{7}{10}$
$e) \: \frac{ - 8}{ - 9} - \frac{11}{12} + \frac{3}{4}$
$f) \: \frac{6}{11} - ( \frac{ - 2}{33} ) + ( \frac{ - 5}{44} ) + 0$
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Answer 1

$a) \: \frac{7}{9} + \frac{3}{9} + \frac{4}{9}$

$= \frac{7+3+4}{9}$

$= \frac{9 + 5}{9}$

$= \frac{9}{9} + \frac{5}{9}$

$= 1 + \frac{5}{9}$

$= 1\frac{5}{9} \: \blue{ ( Mixed \: fraction ) }$

$b) \: \frac{ - 5}{12} + \frac{7}{12} + \frac{ -11 }{12}$

$= \frac{-5+7-11}{12}$

$= \frac{-9}{12}$

$= \frac{ - 3 \times 3 }{3 \times 4 }$

$= \frac{ -3}{4}$

$\blue{ Not \: possible \: to \: write \: as \: }$

$\blue { a \: mixed \: fraction ) }$

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