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CBSESecondary School (English Medium) Class 7

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NCERT solutions for Mathematics [English] Class 7 chapter 2 - Fractions and Decimals [Latest edition]

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Chapters

    1: Integers

▶ 2: Fractions and Decimals

    3: Data Handling

    4: Simple Equations

    5: Lines and Angles

    6: The Triangle and its Properties

    7: Comparing Quantities

    8: Rational Numbers

    9: Perimeter and Area

    10: Algebraic Expressions

    11: Exponents and Powers

    12: Symmetry

    13: Visualising Solid Shapes

NCERT solutions for Mathematics [English] Class 7 chapter 2 - Fractions and Decimals - Shaalaa.com

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Solutions for Chapter 2: Fractions and Decimals

Below listed, you can find solutions for Chapter 2 of CBSE NCERT for Mathematics [English] Class 7.

EXERCISE 2.1EXERCISE 2.2EXERCISE 2.3EXERCISE 2.4EXERCISE 2.5

EXERCISE 2.1 [Pages 24 - 25]

NCERT solutions for Mathematics [English] Class 7 2 Fractions and Decimals EXERCISE 2.1 [Pages 24 - 25]

EXERCISE 2.1 | Q 1. (i) | Page 24

Who represents the following in the drawings:

`2 xx 1/5`

EXERCISE 2.1 | Q 1. (ii) | Page 24

Who represents the following in the drawings:

`2 xx 1/2`

EXERCISE 2.1 | Q 1. (iii) | Page 24

Who represents the following in the drawings:

`3 xx 2/3`

EXERCISE 2.1 | Q 1. (iv) | Page 24

Who represents the following in the drawings:

`3 xx 1/4`

EXERCISE 2.1 | Q 2. (i) | Page 24

Some pictures are given below. Tell which of them show:

`3 xx 1/5 = 3/5`

EXERCISE 2.1 | Q 2. (ii) | Page 24

Some pictures are given below. Tell which of them show:

`2 xx 1/3 = 2/3`

EXERCISE 2.1 | Q 2. (iii) | Page 24

Some pictures are given below. Tell which of them show:

`3 xx 3/4 = 2 1/4`

EXERCISE 2.1 | Q 3. (i) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`7 xx 3/5`

EXERCISE 2.1 | Q 3. (ii) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`4 xx 1/3`

EXERCISE 2.1 | Q 3. (iii) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`2 xx 6/7`

EXERCISE 2.1 | Q 3. (iv) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`5 xx 2/9`

EXERCISE 2.1 | Q 3. (v) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`2/3 xx 4`

EXERCISE 2.1 | Q 3. (vi) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`5/2 xx 6`

EXERCISE 2.1 | Q 3. (vii) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`11 xx 4/7`

EXERCISE 2.1 | Q 3. (viii) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`20 xx 4/5`

EXERCISE 2.1 | Q 3. (ix) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`13 xx 1/3`

EXERCISE 2.1 | Q 3. (x) | Page 24

Multiply and reduce to lowest form and convert into a mixed fraction:

`15 xx 3/5`

EXERCISE 2.1 | Q 4. (i) | Page 25

Shade `1/2` of the circles in box in given figure.

EXERCISE 2.1 | Q 4. (ii) | Page 25

Shade `2/3` of the triangles in box in the given figure.

EXERCISE 2.1 | Q 4. (iii) | Page 25

Shade `3/5` of the squares in box in the given figure.

EXERCISE 2.1 | Q 5. (a) (i) | Page 25

Find `1/2` of 24.

EXERCISE 2.1 | Q 5. (a) (ii) | Page 25

Find `1/2` of 46.

EXERCISE 2.1 | Q 5. (b) (i) | Page 25

Find `2/3` of 18.

EXERCISE 2.1 | Q 5. (b) (ii) | Page 25

Find `2/3` of 27.

EXERCISE 2.1 | Q 5. (c) (i) | Page 25

Find `3/4` of 16.

EXERCISE 2.1 | Q 5. (c) (ii) | Page 25

Find `3/4` of 36.

EXERCISE 2.1 | Q 5. (d) (i) | Page 25

Find `4/5` of 20.

EXERCISE 2.1 | Q 5. (d) (ii) | Page 25

Find `4/5` of 35.

EXERCISE 2.1 | Q 6. (a) | Page 25

Multiply and express as a mixed fraction:

`3 xx 5 1/5`

EXERCISE 2.1 | Q 6. (b) | Page 25

Multiply and express as a mixed fraction:

`5 xx 6 3/4`

EXERCISE 2.1 | Q 6. (c) | Page 25

Multiply and express as a mixed fraction:

`7 xx 2 1/4`

EXERCISE 2.1 | Q 6. (d) | Page 25

Multiply and express as a mixed fraction:

`4 xx 6 1/3`

EXERCISE 2.1 | Q 6. (e) | Page 25

Multiply and express as a mixed fraction:

`3 1/4 xx 6`

EXERCISE 2.1 | Q 6. (f) | Page 25

Multiply and express as a mixed fraction:

`3 2/5 xx 8`

EXERCISE 2.1 | Q 7. (a) (i) | Page 25

Find `1/2 "of " 2 3/4`

EXERCISE 2.1 | Q 7. (a) (ii) | Page 25

Find `1/2 "of" 4 2/9`

EXERCISE 2.1 | Q 7. (b) (i) | Page 25

Find `5/8 "of" 3 5/6`

EXERCISE 2.1 | Q 7. (b) (ii) | Page 25

Find ` 5/8 "of " 9 2/3`

EXERCISE 2.1 | Q 8. | Page 25

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed `2/5` of the water. Pratap consumed the remaining water.

How much water did Vidya drink?
What fraction of the total quantity of water did Pratap drink?

EXERCISE 2.2 [Pages 29 - 30]

NCERT solutions for Mathematics [English] Class 7 2 Fractions and Decimals EXERCISE 2.2 [Pages 29 - 30]

EXERCISE 2.2 | Q 1. (i) (a) | Page 29

Find `1/4 "of" 1/4`

EXERCISE 2.2 | Q 1. (i) (b) | Page 29

Find `1/4 "of" 3/5`

EXERCISE 2.2 | Q 1. (i) (c) | Page 29

Find `1/4 "of" 4/3`

EXERCISE 2.2 | Q 1. (ii) (a) | Page 29

Find `1/7 "of" 2/9`

EXERCISE 2.2 | Q 1. (ii) (b) | Page 29

Find `1/7 "of" 6/5`

EXERCISE 2.2 | Q 1. (ii) (c) | Page 29

Find `1/7 "of" 3/10`

EXERCISE 2.2 | Q 2. (i) | Page 30

Multiply and reduce to lowest form (if possible):

`2/3 xx 2 2/3`

EXERCISE 2.2 | Q 2. (ii) | Page 30

Multiply and reduce to lowest form (if possible):

`2/7 xx 7/9`

EXERCISE 2.2 | Q 2. (iii) | Page 30

Multiply and reduce to lowest form (if possible):

`3/8 xx 6/4`

EXERCISE 2.2 | Q 2. (iv) | Page 30

Multiply and reduce to lowest form (if possible):

`9/5 xx 3/5`

EXERCISE 2.2 | Q 2. (v) | Page 30

Multiply and reduce to lowest form (if possible):

`1/3 xx 15/8`

EXERCISE 2.2 | Q 2. (vi) | Page 30

Multiply and reduce to lowest form (if possible):

`11/2 xx 3/10`

EXERCISE 2.2 | Q 2. (vii) | Page 30

Multiply and reduce to lowest form (if possible):

`4/5 xx12/7`

EXERCISE 2.2 | Q 3. (i) | Page 30

Multiply the following fraction:

`2/5 xx 5 1/4`

EXERCISE 2.2 | Q 3. (ii) | Page 30

Multiply the following fraction:

`6 2/5 xx 7/9`

EXERCISE 2.2 | Q 3. (iii) | Page 30

Multiply the following fraction:

`3/2 xx 5 1/3`

EXERCISE 2.2 | Q 3. (iv) | Page 30

Multiply the following fraction:

`5/6 xx 2 3/7`

EXERCISE 2.2 | Q 3. (v) | Page 30

Multiply the following fraction:

`3 2/5 xx 4/7`

EXERCISE 2.2 | Q 3. (vi) | Page 30

Multiply the following fraction:

`2 3/5 xx 3`

EXERCISE 2.2 | Q 3. (vii) | Page 30

Multiply the following fraction:

`3 4/7 xx 3/5`

EXERCISE 2.2 | Q 4. (i) | Page 30

Which is greater:

`2/7 " of " 3/4 " or " 3/5 "of " 5/8`

EXERCISE 2.2 | Q 4. (ii) | Page 30

Which is greater:

`1/2 "of" 6/7 or 2/3 "of" 3/7`

EXERCISE 2.2 | Q 5. | Page 30

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is `3/4` m. Find the distance between the first and the last sapling.

EXERCISE 2.2 | Q 6. | Page 30

Lipika reads a book for `1 3/4` hours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

EXERCISE 2.2 | Q 7. | Page 30

A car runs 16 km using 1 litre of petrol. How much distance will it cover using `2 3/4` litres of petrol.

EXERCISE 2.2 | Q 8. (a) | Page 30

Provide the number in the box , such that `2/3` × `= 10/30`.
The simplest form of the number obtained in is ______.

EXERCISE 2.2 | Q 8. (b) | Page 30

Provide the number in the box , such that `3/5`× = `24/75`.
The simplest form of the number obtained in is ______.

EXERCISE 2.3 [Page 34]

NCERT solutions for Mathematics [English] Class 7 2 Fractions and Decimals EXERCISE 2.3 [Page 34]

EXERCISE 2.3 | Q 1. (i) | Page 34

Find `12 ÷ 3/4`

EXERCISE 2.3 | Q 1. (ii) | Page 34

Find `14 ÷ 5/6`

EXERCISE 2.3 | Q 1. (iii) | Page 34

Find `8÷ 7/3`

EXERCISE 2.3 | Q 1. (iv) | Page 34

Find `4÷ 8/3`

EXERCISE 2.3 | Q 1. (v) | Page 34

Find `3 ÷ 2 1/3`

EXERCISE 2.3 | Q 1. (vi) | Page 34

Find `5÷ 3 4/7`

EXERCISE 2.3 | Q 2. (i) | Page 34

Find the reciprocal of the following fraction. Classify the reciprocal as proper fractions, improper fractions, and whole number.

`3/7`

EXERCISE 2.3 | Q 2. (ii) | Page 34

Find the reciprocal of the following fraction. Classify the reciprocal as proper fractions, improper fractions, and whole number.

`5/8`

EXERCISE 2.3 | Q 2. (iii) | Page 34

Find the reciprocal of the following fraction. Classify the reciprocal as proper fractions, improper fractions, and whole number.

`9/7`

EXERCISE 2.3 | Q 2. (iv) | Page 34

Find the reciprocal of the following fraction. Classify the reciprocal as proper fractions, improper fractions, and whole number.

`6/5`

EXERCISE 2.3 | Q 2. (v) | Page 34

Find the reciprocal of the following fraction. Classify the reciprocal as proper fractions, improper fractions, and whole number.

`12/7`

EXERCISE 2.3 | Q 2. (vi) | Page 34

Find the reciprocal of the following fraction. Classify the reciprocal as proper fractions, improper fractions, and whole number.

`1/8`

EXERCISE 2.3 | Q 2. (vii) | Page 34

Find the reciprocal of the following fraction. Classify the reciprocal as proper fractions, improper fractions, and whole number.

`1/11`

EXERCISE 2.3 | Q 3. (i) | Page 34

Find `7/3 ÷2`

EXERCISE 2.3 | Q 3. (ii) | Page 34

Find `4/9 ÷ 5`

EXERCISE 2.3 | Q 3. (iii) | Page 34

Find `6/13÷ 7`

EXERCISE 2.3 | Q 3. (iv) | Page 34

Find `4 1/3÷ 3`

EXERCISE 2.3 | Q 3. (v) | Page 35

Find `3 1/2÷ 4`

EXERCISE 2.3 | Q 3. (vi) | Page 34

Find `4 3/7 ÷ 7`

EXERCISE 2.3 | Q 4. (i) | Page 34

Find `2/5÷ 1/2`

EXERCISE 2.3 | Q 4. (ii) | Page 34

Find `4/9÷ 2/3`

EXERCISE 2.3 | Q 4. (iii) | Page 34

Find `3/7÷ 8/7`

EXERCISE 2.3 | Q 4. (iv) | Page 34

Find `2 1/3 ÷ 3/5`

EXERCISE 2.3 | Q 4. (v) | Page 34

Find `3 1/2÷ 8/3`

EXERCISE 2.3 | Q 4. (vi) | Page 34

Find `2/5÷ 1 1/2`

EXERCISE 2.3 | Q 4. (vii) | Page 34

Find `3 1/5 ÷ 1 2/3`

EXERCISE 2.3 | Q 4. (viii) | Page 34

Find `2 1/5 ÷ 1 1/5`

EXERCISE 2.4 [Page 38]

NCERT solutions for Mathematics [English] Class 7 2 Fractions and Decimals EXERCISE 2.4 [Page 38]

EXERCISE 2.4 | Q 1. (i) | Page 38

Find 0.2 × 6

EXERCISE 2.4 | Q 1. (ii) | Page 38

Find 8 × 4.6

EXERCISE 2.4 | Q 1. (iii) | Page 38

Find 2.71 × 5

EXERCISE 2.4 | Q 1. (iv) | Page 38

Find 20.1 × 4

EXERCISE 2.4 | Q 1. (v) | Page 38

Find 0.05 × 7

EXERCISE 2.4 | Q 1. (vi) | Page 38

Find 211.02 × 4

EXERCISE 2.4 | Q 1. (vii) | Page 38

Find 2 × 0.86

EXERCISE 2.4 | Q 2. | Page 38

Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.

EXERCISE 2.4 | Q 3. (i) | Page 38

Find 1.3 × 10

EXERCISE 2.4 | Q 3. (ii) | Page 38

Find 36.8 × 10

EXERCISE 2.4 | Q 3. (iii) | Page 38

Find 153.7 × 10

EXERCISE 2.4 | Q 3. (iv) | Page 38

Find 168.07 × 10

EXERCISE 2.4 | Q 3. (v) | Page 38

Find 31.1 × 10

EXERCISE 2.4 | Q 3. (vi) | Page 38

Find 156.1 × 100

EXERCISE 2.4 | Q 3. (vii) | Page 38

Find 3.62 × 100

EXERCISE 2.4 | Q 3. (viii) | Page 38

Find 43.07 × 100

EXERCISE 2.4 | Q 3. (ix) | Page 38

Find 0.5 × 10

EXERCISE 2.4 | Q 3. (x) | Page 38

Find 0.08 × 10

EXERCISE 2.4 | Q 3. (xi) | Page 38

Find 0.9 × 100

EXERCISE 2.4 | Q 3. (xii) | Page 38

Find 0.03 × 1000

EXERCISE 2.4 | Q 4. | Page 38

A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?

EXERCISE 2.4 | Q 5. (i) | Page 38

Find 2.5 × 0.3

EXERCISE 2.4 | Q 5. (ii) | Page 38

Find 0.1 × 51.7

EXERCISE 2.4 | Q 5. (iii) | Page 38

Find 0.2 × 316.8

EXERCISE 2.4 | Q 5. (iv) | Page 38

Find 1.3 × 3.1

EXERCISE 2.4 | Q 5. (v) | Page 38

Find 0.5 × 0.05

EXERCISE 2.4 | Q 5. (vi) | Page 38

Find 11.2 × 0.15

EXERCISE 2.4 | Q 5. (vii) | Page 38

Find 1.07 × 0.02

EXERCISE 2.4 | Q 5. (viii) | Page 38

Find 10.05 × 1.05

EXERCISE 2.4 | Q 5. (ix) | Page 38

Find 101.01 × 0.01

EXERCISE 2.4 | Q 5. (x) | Page 38

Find 100.01 × 1.1

EXERCISE 2.5 [Pages 41 - 42]

NCERT solutions for Mathematics [English] Class 7 2 Fractions and Decimals EXERCISE 2.5 [Pages 41 - 42]

EXERCISE 2.5 | Q 1. (i) | Page 41

Find 0.4 ÷ 2

EXERCISE 2.5 | Q 1. (ii) | Page 41

Find 0.35 ÷ 5

EXERCISE 2.5 | Q 1. (iii) | Page 41

Find 2.48 ÷ 4

EXERCISE 2.5 | Q 1. (iv) | Page 41

Find 65.4 ÷ 6

EXERCISE 2.5 | Q 1. (v) | Page 41

Find 651.2 ÷ 4

EXERCISE 2.5 | Q 1. (vi) | Page 41

Find 14.49 ÷ 7

EXERCISE 2.5 | Q 1. (vii) | Page 41

Find 3.96 ÷ 4

EXERCISE 2.5 | Q 1. (viii) | Page 41

Find 0.80 ÷ 5

EXERCISE 2.5 | Q 2. (i) | Page 41

Find 4.8 ÷ 10

EXERCISE 2.5 | Q 2. (ii) | Page 41

Find 52.5 ÷ 10

EXERCISE 2.5 | Q 2. (iii) | Page 41

Find 0.7 ÷ 10

EXERCISE 2.5 | Q 2. (iv) | Page 41

Find 33.1 ÷ 10

EXERCISE 2.5 | Q 2. (v) | Page 41

Find 272.23 ÷ 10

EXERCISE 2.5 | Q 2. (vi) | Page 41

Find 0.56 ÷ 10

EXERCISE 2.5 | Q 2. (vii) | Page 41

Find 3.97 ÷ 10

EXERCISE 2.5 | Q 3. (i) | Page 41

Find 2.7 ÷ 100

EXERCISE 2.5 | Q 3. (ii) | Page 41

Find 0.3 ÷ 100

EXERCISE 2.5 | Q 3. (iii) | Page 41

Find 0.78 ÷ 100

EXERCISE 2.5 | Q 3. (iv) | Page 41

Find 432.6 ÷ 100

EXERCISE 2.5 | Q 3. (v) | Page 41

Find 23.6 ÷ 100

EXERCISE 2.5 | Q 3. (vi) | Page 41

Find 98.53 ÷ 100

EXERCISE 2.5 | Q 4. (i) | Page 41

Find 7.9 ÷ 1000

EXERCISE 2.5 | Q 4. (ii) | Page 41

Find 26.3 ÷ 1000

EXERCISE 2.5 | Q 4. (iii) | Page 41

Find 38.53 ÷ 1000

EXERCISE 2.5 | Q 4. (iv) | Page 41

Find 128.9 ÷ 1000

EXERCISE 2.5 | Q 4. (v) | Page 41

Find 0.5 ÷ 1000

EXERCISE 2.5 | Q 5. (i) | Page 42

Find 7 ÷ 3.5

EXERCISE 2.5 | Q 5. (ii) | Page 42

Find 36 ÷ 0.2

EXERCISE 2.5 | Q 5. (iii) | Page 42

Find 3.25 ÷ 0.5

EXERCISE 2.5 | Q 5. (iv) | Page 42

Find 30.94 ÷ 0.7

EXERCISE 2.5 | Q 5. (v) | Page 42

Find 0.5 ÷ 0.25

EXERCISE 2.5 | Q 5. (vi) | Page 42

Find 7.75 ÷ 0.25

EXERCISE 2.5 | Q 5. (vii) | Page 42

Find 76.5 ÷ 0.15

EXERCISE 2.5 | Q 5. (viii) | Page 42

Find 37.8 ÷ 1.4

EXERCISE 2.5 | Q 5. (ix) | Page 42

Find 2.73 ÷ 1.3

EXERCISE 2.5 | Q 6. | Page 42

A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?

Solutions for 2: Fractions and Decimals

EXERCISE 2.1EXERCISE 2.2EXERCISE 2.3EXERCISE 2.4EXERCISE 2.5

NCERT solutions for Mathematics [English] Class 7 chapter 2 - Fractions and Decimals - Shaalaa.com

NCERT solutions for Mathematics [English] Class 7 chapter 2 - Fractions and Decimals

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 7 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 7 CBSE 2 (Fractions and Decimals) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 7 chapter 2 Fractions and Decimals are Concept of Fractions, Multiplication of a Fraction by a Whole Number, The Decimal Number System, Fraction and its Types, Concept of Proper Fractions, Improper Fraction and Mixed Fraction, Multiplication of Fraction, Concept of Equivalent Fractions, Like and Unlike Fraction, Comparing Fractions, Addition of Fraction, Subtraction of Fraction, Fraction as an Operator 'Of', Division of Fractions, Problems Based on Decimal Numbers, Multiplication of Decimal Fractions, Multiplication of Decimal Numbers by 10, 100 and 1000, Division of Decimal Numbers by 10, 100 and 1000, Division of Decimal Fractions, Division of a Decimal Number by Another Decimal Number, Problems Based on Fraction, Concept of Reciprocal or Multiplicative Inverse, Comparing Decimal Numbers, Addition of Decimal Fraction, Subtraction of Decimal Numbers, Concept of Fractions, Multiplication of a Fraction by a Whole Number, The Decimal Number System, Fraction and its Types, Concept of Proper Fractions, Improper Fraction and Mixed Fraction, Multiplication of Fraction, Concept of Equivalent Fractions, Like and Unlike Fraction, Comparing Fractions, Addition of Fraction, Subtraction of Fraction, Fraction as an Operator 'Of', Division of Fractions, Problems Based on Decimal Numbers, Multiplication of Decimal Fractions, Multiplication of Decimal Numbers by 10, 100 and 1000, Division of Decimal Numbers by 10, 100 and 1000, Division of Decimal Fractions, Division of a Decimal Number by Another Decimal Number, Problems Based on Fraction, Concept of Reciprocal or Multiplicative Inverse, Comparing Decimal Numbers, Addition of Decimal Fraction, Subtraction of Decimal Numbers.

Using NCERT Mathematics [English] Class 7 solutions Fractions and Decimals exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 7 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 2, Fractions and Decimals Mathematics [English] Class 7 additional questions for Mathematics Mathematics [English] Class 7 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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