Question

${ \rm{Add : \: \: 2 \frac{4}{5} \: and \: 3 \frac{5}{6} }}$
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Answer 1

Qúestion :-

${ \bf{Add : \: \: \: 2 \frac{4}{5} \: \: and \: \: 3 \frac{5}{6} }}$

Solútion :-

$\: { \bf{2 \frac{4}{5} \: + \: 3 \frac{5}{6}}}$

${ \bf{2 + \frac{4}{5} + 3 + \frac{5}{6} = 5 + \frac{4}{5} + \frac{5}{6} }}$

${ \bf{ \frac{4}{5 } + \frac{5}{6} = \frac{4 \times 6}{ 5 \times 6} + \frac{5 \times 5}{6 \times 5} \: (Since \: LCM \: of \: 5 \: and \: 6 = 30)}}$

${ \bf{ \frac{24}{30} + \frac{25}{30} = \frac{49}{30} = \frac{30 + 19}{30} = 1 + \frac{19}{30} }}$

${ \bf{Thus, \: 5 + \frac{4}{5} + \frac{5}{6} = 5 + 1 + \frac{19}{30} = 6 + \frac{19}{30} = 6 \frac{19}{30} }}$

$\: { \bf{ \blue{So, \: 2 \frac{4}{5} \: + \: 3 \frac{5}{6} = 6 \frac{19}{30} }}}$

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Answer 2

Question :-

${ \rm{Add : \: \: 2 \frac{4}{5} \: and \: 3 \frac{5}{6} }}$

Solution :-

$2 \: + \: \frac{4}{5} \: + \: 3 \: + \: \frac{5}{6} = 5 + \frac{4}{5} + \frac{5}{6}$

$\frac{4}{5} + \frac{5}{6} = \frac{4}{5} \frac{ \times }{ \times } \frac{6}{6} + \frac{5}{6} \frac{ \times }{ \times } \frac{5}{5} (Since \: LCM \: of \: 5 \: and \: 6 = 30)$

$\frac{24}{30} \frac{ \times }{ \times } \frac{25}{30} = \frac{49}{30} = 30 \ + \frac{19}{30} = 1 \: + \frac{19}{30}$

$Thus, \: 5 \: + \frac{4}{5} \: + \frac{5}{6} = 5 \: + 1 \: + \frac{19}{30} = 6 \: + \frac{19}{30} = 6 \frac{19}{30}$

$So, \: 2 \frac{4}{5} \: + 3 \frac{5}{6} = 6 \frac{19}{30}$