Question
Add the fractions $\frac{3}{8}$ and $6\frac34$
✓
Answer
We have, $\frac38+6\frac34$
$\because$ Mised fraction = Improper fraction $=\frac{\text{Whole number}\times\text{Denominator}+\text{Numerator}}{\text{Denominator}}$
$=\frac38+\frac{6\times4+3}{4}=\frac38+\frac{27}{4}$
$=\frac{3\times1}{8\times1}+\frac{27\times2}{4\times2}$ [$\because$ $LCM$ of $8$ and $4$ is $8,$ So convert each fraction to an equivalent fraction with denominator $8]$
$\frac{3}{8}+\frac{54}8=\frac{3+54}{8}=\frac{57}8=7\frac{1}8$
$\because$ Mised fraction = Improper fraction $=\frac{\text{Whole number}\times\text{Denominator}+\text{Numerator}}{\text{Denominator}}$
$=\frac38+\frac{6\times4+3}{4}=\frac38+\frac{27}{4}$
$=\frac{3\times1}{8\times1}+\frac{27\times2}{4\times2}$ [$\because$ $LCM$ of $8$ and $4$ is $8,$ So convert each fraction to an equivalent fraction with denominator $8]$
$\frac{3}{8}+\frac{54}8=\frac{3+54}{8}=\frac{57}8=7\frac{1}8$
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