Question
Simplify:$\frac{7}{18}+\frac{5}{6}+1\frac{1}{12}$
✓
Answer
Given: $\frac{7}{18}+\frac{5}{6}+1\frac{1}{12}$
$=\frac{7}{18}+\frac{5}{6}+\frac{1\times12+1}{12}$
$=\frac{7}{18}+\frac{5}{6}+\frac{13}{12}$
$=\frac{7\times2}{18\times2}+\frac{5\times6}{6\times6}+\frac{13\times3}{12\times3 }$
$($because $LCM$ of $18, 6$ and $12$ is $36)$
$=\frac{14}{36}+\frac{30}{36}+\frac{39}{36}$
$=\frac{14+30+39}{36}$
$=\frac{83}{36}$
$=\frac{7}{18}+\frac{5}{6}+\frac{1\times12+1}{12}$
$=\frac{7}{18}+\frac{5}{6}+\frac{13}{12}$
$=\frac{7\times2}{18\times2}+\frac{5\times6}{6\times6}+\frac{13\times3}{12\times3 }$
$($because $LCM$ of $18, 6$ and $12$ is $36)$
$=\frac{14}{36}+\frac{30}{36}+\frac{39}{36}$
$=\frac{14+30+39}{36}$
$=\frac{83}{36}$
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