CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.2 Solutions

1. Proper Fraction :
   1. A proper fraction is a number representing part of a whole.
   2. In a proper fraction the denominator shows the number of parts into which the whole is divided and the numerator shows the
      number of parts we have taken out.
   3. In a proper fraction the numeratoris always less than the denominator.
   4. On a number line, all these fractions lie to the left of 1as they are less than 1.For Examples

      1		2		3		5		7
      	,		,		,		,
      4		6		9		10		12

      are all proper fractions
2. Improper Fraction :
   1. The fractions, where the numerator is bigger than the denominator are called
      improper Factions. For Examples

      3		7		12		18		27
      	,		,		,		,
      2		3		7		5		8

      are all improper fractions
3. Mixed Fraction :
   1. A mixed fraction has a combination of a whole and a part.For example :
      

      	2			3			1			2
      5		,	4		,	7		,	3
      	3			7			6			7

      are all mixed fractions
   1. Draw number lines and locate the points on them :
   a.

   1	1	3	4
   2	4	4	4

   b.

   1	2	3	7
   8	8	8	8

c.

2	3	8	4
5	5	5	5

Answer: a.

0	1	1	3	4
|	|	|	|	|
0	4	2	4	4

b.

0	1	2	3				7
|	|	|	|	|	|	|	|
0	8	8	8				8

c.

0		2	3	4				8
|	|	|	|	|	|	|	|	|
0		5	5	5				5

2. Express the following as mixed fractions :

	20
a.
	3

	11
b.
	5

	17
c.
	17

	28
d.
	6

	19
e.
	6

	35
f.
	9

Answer: We know that where the numerator is bigger than the denominator are called improper Factions and a mixed fraction has a combination of a whole and a part A improper fraction can be expressed as mixed fraction.

	20			2
a.		=	6
	3			3

	11			1
b.		=	2
	5			5

	17			3
c.		=	2
	7			7

	28			3
d.		=	5
	5			5

	19			1
e.		=	3
	6			6

	35			8
f.		=	3
	9			9

3.  Express the following as improper fractions :

		3
a.	7
		4

		6
b.	5
		7

		5
c.	2
		6

		3
d.	10
		5

		3
e.	9
		7

		4
f.	8
		9

Answer: A mixed fraction has a combination of a whole and a part and where the numerator is bigger than the denominator are called improper Factions. A mixed fraction can be expressed as improper fraction.

		3		31
a.	7		=
		4		4

		6		41
b.	5		=
		7		7

		5		17
c.	2		=
		6		6

		3		53
d.	10		=
		5		5

		3		66
e.	9		=
		7		7

		4		76
f.	8		=
		9		9