## Thursday, 29 March 2012

### 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
4. c.
 2 3 8 4 5 5 5 5
 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