Question
Simplify: $5\frac{1}{6}-3\frac{1}{4}+3\frac{1}{3}+4$
✓
Answer
$5\frac{1}{6}-3\frac{1}{4}+3\frac{1}{3}+4=\frac{31}{6}-\frac{13}{4}+\frac{10}{3}+\frac{4}{1}$
$=\frac{31\times2}{6\times2}-\frac{13\times3}{4\times3}+\frac{10\times4}{3\times4}+\frac{4\times12}{1\times12}$
$=\frac{62}{12}-\frac{39}{12}+\frac{40}{12}+\frac{48}{12}$
$=\frac{62-39+40+48}{12}$
$=\frac{111}{12}$
$=\frac{37}{4}$
$=9\frac{1}{4}$
$=\frac{31\times2}{6\times2}-\frac{13\times3}{4\times3}+\frac{10\times4}{3\times4}+\frac{4\times12}{1\times12}$
$=\frac{62}{12}-\frac{39}{12}+\frac{40}{12}+\frac{48}{12}$
$=\frac{62-39+40+48}{12}$
$=\frac{111}{12}$
$=\frac{37}{4}$
$=9\frac{1}{4}$
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