Question
$\frac{17}{2}+3\frac12=$ _______________.
✓
Answer
We have, $\frac{17}{2}+3\frac13=\frac{17}{2}+\frac{3\times2+1}{2}$ [$\because$ Mixed fraction = Improper fraction]
$=\frac{(\text{Whole number}\times\text{Denominator}+\text{Numerator})}{\text{Denominator}}$
$=\frac{17}{2}+\frac{7}{2}=\frac{17+7}{2}=\frac{24}{2}=\frac{24\div2}{2\div2}[\because HCF$ of $24$ and $2$ is $2]$
$=12$
$=\frac{(\text{Whole number}\times\text{Denominator}+\text{Numerator})}{\text{Denominator}}$
$=\frac{17}{2}+\frac{7}{2}=\frac{17+7}{2}=\frac{24}{2}=\frac{24\div2}{2\div2}[\because HCF$ of $24$ and $2$ is $2]$
$=12$
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