Question
Simplify:
$1 \frac{5}{8}-2 \frac{1}{6}+3 \frac{3}{4}$

Answer

$1 \frac{5}{8}-2 \frac{1}{6}+3 \frac{3}{4}=\frac{13}{8}-\frac{13}{6}+\frac{15}{4} $
$=\frac{13 \times 3}{8 \times 3}-\frac{13 \times 4}{6 \times 4}+\frac{15 \times 6}{4 \times 6}=\frac{39}{24}-\frac{52}{24}+\frac{91}{24} $
$=\frac{39-52+90}{24}=\frac{129-52}{24}=\frac{77}{24}=3 \frac{5}{24}$

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