# 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