Question
Subtract $1\frac14$ from $6\frac12$
✓
Answer
We have, $6\frac12-1\frac14$$\frac{6\times2+1}{2}-\frac{1\times4+1}{4}$
$\because$ Mixed fraction = Improper fraction $=\frac{\text{Whole number×Denominator+Numerator}}{\text{Denominator}}$
$=\frac{13}{2}-\frac54=\frac{13\times2}{2\times2}-\frac{5\times1}{4\times1}$ [$\because$ $LCM$ of $2$ and $4$ is $4$ so convert each fraction to an equivalent fraction with denominator $4$]
$=\frac{26}{4}-\frac{5}4{}$
$=\frac{26-5}{4}=\frac{21}{4}=5\frac{1}4{}$
$\because$ Mixed fraction = Improper fraction $=\frac{\text{Whole number×Denominator+Numerator}}{\text{Denominator}}$
$=\frac{13}{2}-\frac54=\frac{13\times2}{2\times2}-\frac{5\times1}{4\times1}$ [$\because$ $LCM$ of $2$ and $4$ is $4$ so convert each fraction to an equivalent fraction with denominator $4$]
$=\frac{26}{4}-\frac{5}4{}$
$=\frac{26-5}{4}=\frac{21}{4}=5\frac{1}4{}$
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