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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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