Question
Simplify:$7+\frac{7}{4}+5\frac{1}{6}$
✓
Answer
Given: $7+\frac{7}{4}+5\frac{1}{6}$$=\frac{7}{1}+\frac{7}{4}+\frac{5\times6+1}{6}$
$=\frac{7}{1}+\frac{7}{4}+\frac{31}{6}$
$=\frac{7\times12}{1\times12}+\frac{7\times3}{4\times3}+\frac{31\times2}{6\times2 }$ (because $LCM$ of $1, 4$ and $6$ is $12$)
$=\frac{84}{12}+\frac{21}{12}+\frac{62}{12}$
$=\frac{84+21+62}{12}$
$=\frac{167}{12}$
$=\frac{7}{1}+\frac{7}{4}+\frac{31}{6}$
$=\frac{7\times12}{1\times12}+\frac{7\times3}{4\times3}+\frac{31\times2}{6\times2 }$ (because $LCM$ of $1, 4$ and $6$ is $12$)
$=\frac{84}{12}+\frac{21}{12}+\frac{62}{12}$
$=\frac{84+21+62}{12}$
$=\frac{167}{12}$
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