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Types of Fractions

simplify: 1...

Question

simplify:
$1 \frac{1}{2} + \frac{4}{9} + 13 \frac{1}{2}$

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Solution

$1 \frac{1}{2} = 1 + \frac{1}{2} = \frac{2 + 1}{2} = \frac{3}{2}$
$13 \frac{1}{2} = 13 + \frac{1}{2} = \frac{26 + 1}{2} = \frac{27}{2}$
$1 \frac{1}{2} + \frac{4}{9} + 13 \frac{1}{2} = \frac{3}{2} + \frac{4}{9} + \frac{27}{2} = \frac{27 + 8 + 243}{18} = \frac{278}{18} = \frac{139}{9} = 15 \frac{4}{9}$

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