Question
Simplify:$7\frac{1}{3}+3\frac{2}{3}+5\frac{1}{6}$
✓
Answer
Given: $7\frac{1}{3}+3\frac{2}{3}+5\frac{1}{6}$$=\frac{7\times3+1}{3}+\frac{3\times3+2}{3}+\frac{5\times6+1}{6}$
$=\frac{22}{3}+\frac{11}{3}+\frac{31}{6}$
$=\frac{22\times2}{3\times2}+\frac{11\times2}{3\times2}+\frac{31\times1}{6\times1}$ (because LCM of 3, 3 and 6 is 6)
$=\frac{44}{6}+\frac{22}{6}+\frac{31}{6}$
$=\frac{44+22+31}{6}$
$=\frac{97}{6}$
$=\frac{22}{3}+\frac{11}{3}+\frac{31}{6}$
$=\frac{22\times2}{3\times2}+\frac{11\times2}{3\times2}+\frac{31\times1}{6\times1}$ (because LCM of 3, 3 and 6 is 6)
$=\frac{44}{6}+\frac{22}{6}+\frac{31}{6}$
$=\frac{44+22+31}{6}$
$=\frac{97}{6}$
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