9 21/2 31/4 9 (2× 2+1/2) (3× 4+1/4) = 9 5/2 13/4 #160; = 9 10/4 13/4 #160; #160; = 9 23/4 #160; = 13/4 #160; #16 ...

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Addition of Rational Numbers

Solve: 9-21...

Question

Solve: $9 - 2 \frac{1}{2} - 3 \frac{1}{4}$

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Solution

$9 - 2 \frac{1}{2} - 3 \frac{1}{4}$
$9 - (\frac{2 \times 2 + 1}{2}) - (\frac{3 \times 4 + 1}{4})$
$= 9 - \frac{5}{2} - \frac{13}{4} = 9 - \frac{10}{4} - \frac{13}{4}$
$= 9 - \frac{23}{4}$
$= \frac{13}{4}$

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