Question
$1 \frac{1}{4}+3 \frac{1}{2}$

Answer

$\begin{aligned} & 1 \frac{1}{4}+3 \frac{1}{2} \\ & 1 \frac{1}{4}+3 \frac{1}{2}=\frac{1 \times 4+1}{4}+\frac{3 \times 2+1}{2} \\ & =\frac{4+1}{4}+\frac{6+1}{2} \\ & =\frac{5}{4}+\frac{7}{2} \\ & =\frac{5}{4}+\frac{7 \times 2}{2 \times 2} \\ & =\frac{5}{4}+\frac{14}{4}=\frac{5+14}{4}=\frac{19}{4} \\ & 1 \frac{1}{4}+3 \frac{1}{2}=4 \frac{3}{4} \\ & \end{aligned}$

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