Convert Improper Fraction To Mixed Fraction at Algebra Den

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Home >> Fractions >> Conversion of Fraction >> Improper Fraction To Mixed Fraction >>

Convert Improper Fraction To Mixed Fraction

Mixed Fraction To Improper Fraction Improper Fraction To Mixed Fraction Fraction To Percentage Mixed Fraction To Percentage Proper Fraction into Decimal
Improper Fraction into Decimal Mixed Fraction into Decimal

Before you study how to convert improper fraction into mixed fraction, you are advised to read

What is mixed fraction ?
What is improper fraction ?

To convert a Improper Fraction into Mixed Fraction study the following steps ;-

Step 1 = Divide Numerator by denominator.

Step 2 = Quotient is equal to Whole Number of Mixed Fraction.

Step 3 = Remainder is equal to Numerator of Mixed Fraction.

Step 4 = Denominator of Improper Fraction is equal to Denominator of Mixed Fraction.

In short, after dividing the numerator by denominator, we obtain quotient & remainder and mixed fraction will be written as :

Quotient Remainder
Divisor

Following examples further demonstrate Conversion of Improper Fraction to Mixed Fractions.

Example 1 = Convert Improper fraction 10/6 into mixed fraction

Answer = The Steps of conversion is as :-

Step 1 = Divide Numerator(10) by denominator(6) = 10 ÷ 6.

Step 2 = Quotient = Whole Number of Mixed Fraction = 1.

Step 3 = Remainder = Numerator of Mixed Fraction = 4.

Step 4 = Denominator of Improper Fraction = Denominator of Mixed Fraction = 6.

Hence, The Mixed Fraction is

1 4
6

Example 2 = Convert Improper fraction 11/9 into mixed fraction

Answer = The Steps of conversion is as :-

Step 1 = Divide Numerator(11) by denominator(9) = 11 ÷ 9.

Step 2 = Quotient = Whole Number of Mixed Fraction = 1.

Step 3 = Remainder = Numerator of Mixed Fraction = 2.

Step 4 = Denominator of Improper Fraction = Denominator of Mixed Fraction = 9.

Hence, The Mixed Fraction is

1 2
9

Example 3 = Convert Improper fraction 20/7 into mixed fraction

Answer = The Steps of conversion is as :-

Step 1 = Divide Numerator(20) by denominator(7) = 20 ÷ 7.

Step 2 = Quotient = Whole Number of Mixed Fraction = 2.

Step 3 = Remainder = Numerator of Mixed Fraction = 6.

Step 4 = Denominator of Improper Fraction = Denominator of Mixed Fraction = 7.

Hence, The Mixed Fraction is

2 6
7

Study More Solved Questions / Examples

Convert improper fraction ¹⁰/₈, ²⁰/₃,³⁵/₉ into mixed fraction

Convert improper fraction ²⁸/₅, ⁴⁷/₁₃ into mixed fraction using short cut method