Theory:

Mixed fractions contain a whole number and a proper fraction. They can also be represented as an improper fraction.
Example:
345; where \(3\) is a whole number and \(4/5\) is a proper fraction.
Converting mixed fraction to improper fraction: To convert a mixed fraction to improper fraction, the following steps are to be followed.
 
Step 1: Multiply the denominator of the proper fraction and whole number and add it with the numerator of the fraction to get the numerator of the improper fraction.
  
Step 2: Denominator of an improper fraction is the same as the denominator of a mixed fraction.
Example:
Convert 345 to an improper fraction.
 
Step 1: Numerator of improper fraction \(=\) (denominator of the proper fraction \(×\) whole number) \(+\) numerator of a proper fraction.
 
\(= 5 × 3 = 15 + 4 = 19\).
 
Step 2: Denominator of improper fraction \(=\) denominator of the mixed fraction.
 
The denominator of improper fraction \(= 5\).
 
Improper fraction \(= 19 / 5\).
 
Thus, 345 \(= 19 / 5\).
Converting improper fraction to mixed fraction: To convert the improper fraction to mixed fraction, the following steps are to be followed.
  
Divide the given fraction to find quotient and remainder.
  
The whole number in mixed fraction \(=\) quotient of division.
 
The numerator of mixed fraction \(=\) remainder of a division.
 
The denominator of mixed fraction \(=\) denominator of the improper fraction.
Example:
Convert \(15/4\) to a mixed fraction.
 
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The remainder is \(3\), the quotient is \(3\).
 
The whole number in mixed fraction \(=\) quotient of division \(= 3\).
 
The numerator of mixed fraction \(=\) reminder of division \(= 3\).
 
The denominator of mixed fraction \(=\) denominator of improper fraction \(= 4\).
 
Thus, \(15/4 =\) 334.