2. Convert: a) $$ \frac{44}{9} $$ into a mixed number. b) $$ 1 \frac{33}{34} $$ into an improper fraction.

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**(a) Convert $$ \frac{44}{9} $$ into a mixed number**

1. Divide the numerator by the denominator:  
   $$ 44 \div 9 = 4 $$ with a remainder $$ r $$.

2. Compute the remainder:  
   $$ 44 - 9 	imes 4 = 44 - 36 = 8 $$.

3. Write the mixed number:  
   $$ 4 \frac{8}{9} $$.

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**(b) Convert $$ 1 \frac{33}{34} $$ into an improper fraction**

1. Multiply the whole number part by the denominator:  
   $$ 1 	imes 34 = 34 $$.

2. Add the numerator:  
   $$ 34 + 33 = 67 $$.

3. Write the improper fraction:  
   $$ \frac{67}{34} $$.
**(a) $$ \frac{44}{9} $$ as a mixed number:** $$ 4 \frac{8}{9} $$ **(b) $$ 1 \frac{33}{34} $$ as an improper fraction:** $$ \frac{67}{34} $$

Convert:
a) into a mixed number.
b) into an improper fraction.

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