Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 6th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide chapter 1 - Fractions [Latest edition]

## Chapter 1: Fractions

Exercise 1.1Exercise 1.2
Exercise 1.1 [Pages 19 - 20]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide Chapter 1 FractionsExercise 1.1 [Pages 19 - 20]

#### Fill in the blanks

Exercise 1.1 | Q 1. i) | Page 19

7 3/4 + 6 1/2 = ___________

Exercise 1.1 | Q 1. ii) | Page 19

The sum of a whole number and a proper fraction is called __________

Exercise 1.1 | Q 1. iii) | Page 19

5 1/3 - 3 1/2 = _________

Exercise 1.1 | Q 1. iv) | Page 19

8 ÷ 1/2 = __________

Exercise 1.1 | Q 1. v) | Page 19

The number which has its own reciprocal is __________

#### Say True or False

Exercise 1.1 | Q 2. i) | Page 19

3 1/2 can be written as 3 + 1/2

• True

• False

Exercise 1.1 | Q 2. ii) | Page 19

The sum of any two proper fractions is always an improper fraction

• True

• False

Exercise 1.1 | Q 2. iii) | Page 19

The mixed fraction of 13/4 is 3 1/4

• True

• False

Exercise 1.1 | Q 2. iv) | Page 19

The reciprocal of an improper fraction is always a proper fraction

• True

• False

Exercise 1.1 | Q 2. v) | Page 19

3 1/4 xx 3 1/4 = 9 1/16

• True

• False

#### Answer the following:

Exercise 1.1 | Q 3. i) | Page 19

Find the sum of 1/7 and 3/9

Exercise 1.1 | Q 3. ii) | Page 19

What is the total of 3 1/3 and 4 1/6?

Exercise 1.1 | Q 3. iii) | Page 19

Simplify : 1 3/5 + 5 4/7

Exercise 1.1 | Q 3. iv) | Page 19

Find the difference between 8/9 and 2/7

Exercise 1.1 | Q 3. v) | Page 19

Subtract 1 3/5 from 2 1/3

Exercise 1.1 | Q 3. vi) | Page 19

Simplify : 7 2/7 - 3 4/21

Exercise 1.1 | Q 4. i) | Page 19

Convert mixed fraction into improper fraction and vice versa:

3 7/18

Exercise 1.1 | Q 4. ii) | Page 19

Convert mixed fraction into improper fraction and vice versa:

99/7

Exercise 1.1 | Q 4. iii) | Page 19

Convert mixed fraction into improper fraction and vice versa:

47/6

Exercise 1.1 | Q 4. iv) | Page 19

Convert mixed fraction into improper fraction and vice versa:

12 1/9

Exercise 1.1 | Q 5. i) | Page 20

Multiply the following:

2/3 xx 6

Exercise 1.1 | Q 5. ii) | Page 20

Multiply the following:

8 1/3 xx 5

Exercise 1.1 | Q 5. iii) | Page 20

Multiply the following:

3/8 xx 4/5

Exercise 1.1 | Q 5. iv) | Page 20

Multiply the following:

3 5/7 xx 1 1/13

Exercise 1.1 | Q 6. i) | Page 20

Divide the following:

3/7 ÷ 4

Exercise 1.1 | Q 6. ii) | Page 20

Divide the following:

4/3 ÷ 5/9

Exercise 1.1 | Q 6. iii) | Page 20

Divide the following:

4 1/5 ÷ 3 3/4

Exercise 1.1 | Q 6. iv) | Page 20

Divide the following:

9 2/3 ÷ 1 2/3

Exercise 1.1 | Q 7 | Page 20

Gowri purchased 3 1/2 kg of tomatoes, 3/4 kg of brinjal and 1 1/4 kg of onion. What is the total weight of the vegetables she bought?

Exercise 1.1 | Q 8 | Page 20

An oil tin contains 3 3/4 litres of oil of which 2 1/2 litres of oil is used. How much oil is leftover?

Exercise 1.1 | Q 9 | Page 20

Nilavan can walk 4 1/2 km in an hour. How much distance will he cover in 3 1/2 hours?

Exercise 1.1 | Q 10 | Page 20

Ravi bought a curtain of length 15 3/4 m. If he cut the curtain into small pieces each of length 2 1/4 m, then how many small curtains will he get?

#### Objective Type Questions

Exercise 1.1 | Q 11 | Page 20

Which of the following statement is incorrect?

• 1/2 > 1/3

• 7/8 > 6/7

• 8/9 < 9/10

• 10/11 < 9/10

Exercise 1.1 | Q 12 | Page 20

The difference between 3/7 and 2/9 is

• 13/63

• 1/9

• 1/7

• 9/16

Exercise 1.1 | Q 13 | Page 20

The reciprocal of 53/17 is

• 53/17

• 5 3/17

• 17/53

• 3 5/17

Exercise 1.1 | Q 14 | Page 20

If 6/7 = "A"/49, then the value of A is

• 42

• 36

• 25

• 48

Exercise 1.1 | Q 15 | Page 20

Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?

• 2/3 of ₹ 150

• 3/5 of ₹ 150

• 4/5 of ₹ 150

• 1/5 of ₹ 150

Exercise 1.2 [Pages 20 - 22]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide Chapter 1 FractionsExercise 1.2 [Pages 20 - 22]

#### Miscellaneous Practice problems

Exercise 1.2 | Q 1 | Page 20

Sankari purchased 2 1/2 m cloth to stitch a long skirt and 1 3/4 m cloth to stitch blouse. If the cost is ₹ 120 per metre then find the cost of cloth purchased by her

Exercise 1.2 | Q 2 | Page 20

From his office, a person wants to reach his house on foot which is at a distance of 5 3/4 km. If he had walked 2 1/2 km, how much distance still he has to walk to reach his house?

Exercise 1.2 | Q 3 | Page 21

Which is smaller? The difference between 2 1/2 and 3 2/3 or the sum of 1 1/2 and 2 1/4

Exercise 1.2 | Q 4 | Page 21

Mangai bought 6 3/4 kg of apples. If Kalai bought 1 1/2 times as Mangai bought, then how many kilograms of apples did Kalai buy?

Exercise 1.2 | Q 5 | Page 21

The length of the staircase is 5 1/2 m. If one step is set at 1/4 m, then how many steps will be there in the staircase?

#### Challenge Problems

Exercise 1.2 | Q 6 | Page 21

By using the following clues, find who am I?

i) Each of my numerator and denominator is a single digit number.
ii) The sum of my numerator and denominator is a multiple of 3.
iii) The product of my numerator and denominator is a multiple of 4.

Exercise 1.2 | Q 7 | Page 21

Add the difference between 1 1/3 and 3 1/6 and the difference between 4 1/6 and 2 1/3

Exercise 1.2 | Q 8 | Page 21

What fraction is to be subtracted from 9 3/7 to get 3 1/5?

Exercise 1.2 | Q 9 | Page 21

The sum of two fractions is 5 3/9. If one of the fractions is 2 3/4, find the other fraction

Exercise 1.2 | Q 10 | Page 21

By what number should 3 1/16 be multiplied to get 9 3/16?

Exercise 1.2 | Q 11 | Page 21

Complete the fifth row in the Leibnitz triangle which is based on subtraction.

Exercise 1.2 | Q 12 | Page 21

A painter painted 3/8 of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?

Exercise 1.2 | Q 13 | Page 22

A rabbit has to cover 26 1/4 m to fetch its food. If it covers 1 3/4 m in one jump, then how many jumps will it take to fetch its food?

Exercise 1.2 | Q 14 | Page 22

Look at the picture and answer the following questions:

i) What is the distance from School to Library via Bus stop?
ii) What is the distance between School and Library via Hospital?
iii) Which is the shortest distance between (i) and (ii)?
iv) The distance between School and Hospital is ____________ times the distance between School and Bus stop.

## Chapter 1: Fractions

Exercise 1.1Exercise 1.2

## Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 3 Answers Guide chapter 1 - Fractions

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Concepts covered in Class 6th Mathematics Term 3 Answers Guide chapter 1 Fractions are Concept of Fractions, Concept for Equivalent Fractions, Comparing Fractions, Addition of Fraction, Subtraction of Fraction, Improper Fraction and Mixed Fraction, Multiplication of Fraction, Multiplication of a Fraction by a Whole Number, Fraction as an Operator 'Of', Multiplication of a Fraction by a Fraction, Division of Fractions.

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