Question

SOLVE:-
$\ \textless \ br /\ \textgreater \ 1.\ \textless \ br /\ \textgreater \ 1 \frac{1}{3} + 3 \frac{2}{3}\ \textless \ br /\ \textgreater \ \\ 2).\ \textless \ br /\ \textgreater \ 4 \frac{2}{3 } + 3 \frac{1}{4}\ \textless \ br /\ \textgreater \ \\ 3).\ \textless \ br /\ \textgreater \ \frac{16}{5 } - \frac{7}{5}\ \textless \ br /\ \textgreater \ \\ 4).\ \textless \ br /\ \textgreater \ \frac{4}{3} - \frac{1}{2}\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater$
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Answer 1

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• $\sf1 \frac{1}{3} + 3 \frac{2}{3} = \: ?$

$\sf = 1 + \frac{1}{3} + \: 3 + \frac{2}{3} \\\\\sf = 4 + \frac{1}{3} + \frac{2}{3} \\\\\sf = 4 + \frac{1 + 2}{3} \\\\\sf = 4 + \frac{3 \div 3}{3 \div 3} \\\\\sf = 4 + 1 \\\\\sf \green { = 5}$

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• $\sf4\frac{2}{3}+3\frac{1}{4}= \: ?$

$\sf = 4 + \frac{2}{3} + 3 + \frac{1}{4} \\\\\sf = 7 + \frac{2}{3} + \frac{1}{4} \\\\\sf = 7 + \frac{2 \times 4}{3 \times 4} + \frac{1 \times 3}{4 \times 3} \\\\\sf = \frac{8}{12} + \frac{3}{12} \\\\\sf = \frac{8 + 3}{12} \\\\\sf \green { = \frac{11}{12}}$

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• $\sf \frac{16}{5} - \frac{7}{5} = \: ?$

$\sf = \frac{16 - 7}{5} \\\\\sf \green { = \frac{9}{5}}$

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• $\frac{4}{3} - \frac{1}{2} = \: ?$

$\sf = \frac{4 \times 2}{3 \times 2} - \frac{1 \times 3}{2 \times 3} \\\\\sf = \frac{8 } {6} - \frac{3} {6} \\\\\sf = \frac{8 - 3}{6} \\ \\ \sf\green { = \frac{5}{6}}$

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Answer 2

$\maltese{ \underline{ \underline{ \textsf{ \textbf{Answer}}}}}$

$\pink\bullet$ $\begin{lgathered}\sf = 1 + \frac{1}{3} + \: 3 + \frac{2}{3} \\\\\sf = 4 + \frac{1}{3} + \frac{2}{3} \\\\\sf = 4 + \frac{1 + 2}{3} \\\\\sf = 4 + \frac{3 \div 3}{3 \div 3} \\\\\sf = 4 + 1 \\\\\sf \green { = 5}\end{lgathered}$

$\pink\bullet$ $</p><p>\begin{lgathered}\sf = 4 + \frac{2}{3} + 3 + \frac{1}{4} \\\\\sf = 7 + \frac{2}{3} + \frac{1}{4} \\\\\sf = 7 + \frac{2 \times 4}{3 \times 4} + \frac{1 \times 3}{4 \times 3} \\\\\sf = \frac{8}{12} + \frac{3}{12} \\\\\sf = \frac{8 + 3}{12} \\\\\sf \green { = \frac{11}{12}}\end{lgathered}$

$\pink\bullet$ $</p><p>\begin{lgathered}\sf = \frac{16 - 7}{5} \\\\\sf \green { = \frac{9}{5}}\end{lgathered}$

$\pink\bullet$ $</p><p>\begin{lgathered}\sf = \frac{4 \times 2}{3 \times 2} - \frac{1 \times 3}{2 \times 3} \\\\\sf = \frac{8 } {6} - \frac{3} {6} \\\\\sf = \frac{8 - 3}{6} \\ \\ \sf\green { = \frac{5}{6}}\end{lgathered}$