Improper To Mixed Fractions

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In this section you will learn how to convert improper to mixed fractions.

To Convert improper -> mixed fraction, use the following steps.



Step 1 : Consider any improper fraction.

Step 2 : Divide the numerator by denominator actually to get quotient and remainder.

Step 3 : Write the mixed fraction as Quotient ^Remainder /Denominator.

Example :

Convert 43/4 into mixed fraction :

First, do the long division to find the whole-number part (being the quotient) and the remainder:


In the above example Quotient = 10, remainder = 3 and denominator = 4

so, mixed fraction can be written as

Quotient ^Remainder /Denominator

= 10 ³ /4.

Some examples :

1) Convert 35/3 to mixed fraction.



2) Convert 125 / 4 to mixed fraction.

We have,


Therefore, Quotient= 31, Remainder = 1 and Denominator = 4

Quotient ^Remainder /Denominator

125/4 = 31 ¹ /4.

3) Convert 315 / 13 to mixed fraction.

We have,


Here, Quotient = 24, Remainder = 3 and Denominator = 13

∴ 315/13 = 24 ³ /13.

4) Express 19/4 as a mixed fraction :

4 )19(4
  - 16
------
    3
Quotient = 4 , remainder = 3 and denominator = 4
19/4 = 4 ³ /4.

5) Express 58/7 as a mixed fraction.

7 )58(8
  - 56
------
    2
Quotient = 8 , remainder = 2 and denominator = 7
58/7 = 8 ² /7.

6) Express 33/5 as a mixed fraction.

5 )33(6
  - 30
------
    3
Quotient = 6 , remainder = 3 and denominator = 5
33/5 = 6 ³ /5.
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Practice
Q.1 Convert the following into mixed fractions.
1) 12/5
2) 23/2
3) 37/8
4) 42/9
5) 52/6

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Fraction

• Types of Fractions
• Improper to mixed fractions
• Equivalent Fractions
• Fractions in Simplest form
• Like and Unlike Fractions
• Add fractions
• Subtraction of fractions
• Multiplying Fractions
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