# Improper To Mixed Fractions

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

**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

• Types of Fractions

• Improper to mixed fractions

• Equivalent Fractions

• Fractions in Simplest form

• Like and Unlike Fractions

• Add fractions

• Subtraction of fractions

• Multiplying Fractions