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Mixed fractions contain a whole number and a proper fraction. They can also be represented as an improper fraction.
Example:
; 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 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, = 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.
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 = .
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