- Proper Fraction :
- A proper fraction is a number representing part of a whole.
- 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. - In a proper fraction the numeratoris always less than the denominator.
- 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

- Improper Fraction :
- The fractions, where the numerator is bigger than the denominator are called

improper Factions. For Examples3 7 12 18 27

,

,

,

,

2 3 7 5 8

- The fractions, where the numerator is bigger than the denominator are called
- Mixed Fraction :
- 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

**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 - A mixed fraction has a combination of a whole and a part.For example :

**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 |

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