#### Chapters

Chapter 2: Fractions and Decimals

Chapter 3: Data Handling

Chapter 4: Simple Equations

Chapter 5: Lines and Angles

Chapter 6: The Triangle and its Properties

Chapter 7: Congruence of Triangles

Chapter 8: Comparing Quantities

Chapter 9: Rational Numbers

Chapter 10: Practical Geometry

Chapter 11: Perimeter and Area

Chapter 12: Algebraic Expressions

Chapter 13: Exponents and Powers

Chapter 14: Symmetry

Chapter 15: Visualising Solid Shapes

#### NCERT Mathematics Class 7

## Chapter 2: Fractions and Decimals

#### Chapter 2: Fractions and Decimals Exercise 2.10 solutions [Pages 31 - 32]

Solve: `2 - 3/5`

Solve : `4 + 7/8`

Solve: `3/5 + 2/7`

Solve: `9/11 - 4/15`

Solve: `7/10 + 2/5 + 3/2`

Solve: `2 2/3 + 3 1/2`

Solve: `8 1/2 - 3 5/8`

Arrange the given in descending order:

`2/9, 2/3,8/21`

Arrange the given in descending order:

`1/5, 3/7, 7/10`

In a “magic square”, the sum of the numbers in each row, in each column and along

the diagonals is the same. Is this a magic square?

`4/11` | `9/11` | `2/11` |

`3/11` | `5/11` | `7/11` |

`8/11` | `1/11` | `6/11` |

(Along the first row `4/11 +9/11 + 2/11 = 15/11`)

A rectangular sheet of paper is 12 `1/2` cm long and 10 `2/3` cm wide Find its perimeter.

Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Salil wants to put a picture in a frame. The picture is 7 `3/5` cm wide. To fit in the frame the picture cannot be more than 7 `3/10` cm wide. How much should the picture be trimmed?

Ritu ate `3/5` part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

Michael finished `7/2` a picture in `7/12` hour. Vaibhav finished colouring the same picture in `3/4` hour. Who worked longer? By what fraction was it longer?

#### Chapter 2: Fractions and Decimals Exercise 2.20 solutions [Pages 36 - 37]

Which of the drawings (a) to (d) show :

`2 xx 1/5`

a)

b)

c)

d)

Which of the drawings (a) to (d) show :

`2 xx 1/2`

a)

b)

c)

d)

Which of the drawings (a) to (d) show :

`3 xx 2/3`

a)

b)

c)

d)

Which of the drawings (a) to (d) show :

`3 xx 1/4`

a)

b)

c)

d)

Some pictures (a) to (c) are given below. Tell which of them show:

`3 xx 1/5 = 3/5`

a)

b)

c)

Some pictures (a) to (c) are given below. Tell which of them show:

`2 xx 1/3 = 2/3`

a)

b)

c)

Some pictures (a) to (c) are given below. Tell which of them show:

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

a)

b)

c)

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

`7 xx 3/5`

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

`4 xx 1/3`

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

`2 xx 6/7`

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

`5 xx 2/9`

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

`2/3 xx 4`

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

`5/2 xx6`

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

`11 xx 4/7`

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

`20 xx 4/5`

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

`13 xx 1/3`

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

`15 xx 3/5`

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

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

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

Find: `1/2` of 1) 24 and 2) 46

Find `2/3` of 1) 18 and 2) 27

Find: `3/4` of 1) 16 and 2) 36

Find: `4/5` of 1) 20 and 2) 35

Multiply and express as a mixed fraction:

`3 xx 5 1/5`

Multiply and express as a mixed fraction:

`5 xx 6 3/4`

Multiply and express as a mixed fraction:

`7 xx 2 1/4`

Multiply and express as a mixed fraction:

`4 xx 6 1/3`

Multiply and express as a mixed fraction:

`3 1/4 xx 6`

Multiply and express as a mixed fraction:

`3 2/5 xx 8`

Find `1/2` of (i) `2 3/4` (ii) `4 2/9`

Find `5/8` of (1) `3 5/6` and (2) `9 2/3`

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.

1) How much water did Vidya drink?

2) What fraction of the total quantity of water did Pratap drink?

#### Chapter 2: Fractions and Decimals Exercise 2.30 solutions [Pages 41 - 42]

Find `1/4` of (a) `1/4` (b) `3/5` (c) `4/3`

Find: `1/7` of (a) `2/9` (b) `6/5` (c) `3/10`

Multiply and reduce to lowest form (if possible):

`2/3 xx 2 2/3`

Multiply and reduce to lowest form (if possible):

`2/7 xx 7/9`

Multiply and reduce to lowest form (if possible):

`3/8 xx 6/4`

Multiply and reduce to lowest form (if possible):

`9/5 xx 3/5`

Multiply and reduce to lowest form (if possible):

`1/3 xx 15/8`

Multiply and reduce to lowest form (if possible):

`11/2 xx 3/10`

Multiply and reduce to lowest form (if possible):

`4/5 xx12/7`

Multiply the following fractions:

`2/5 xx 5 1/4`

Multiply the following fractions

`6 2/5 xx 7/9`

Multiply the following fractions

`3/2 xx 5 1/3`

Multiply the following fractions

`5/6 xx 2 3/7`

Multiply the following fractions:

`3 2/5 xx 4/7`

Multiply the following fractions:

`2 3/5 xx 3`

Multiply the following fractions:

`3 4/7 xx 3/5`

Which is greater: `2/7 " of " 13/4 " or " 3/5 " of " 5/8`

Which is greater: `1/2 " of " 6/7 or 2/3 " of " 3/7`

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.

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?

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

Provide the number in the box , such that `2/3` x `= 10/30`

The simplest form of the number obtained in is __________

Provide the number in the box , such that `3/5` x = `24/75` ?

The simplest form of the number obtained in is _________

#### Chapter 2: Fractions and Decimals Exercise 2.40 solutions [Page 46]

Find: `12 ÷ 3/4`

Find `14 ÷ 5/6`

Find `8 ÷ 7/3`

Find `4 ÷ 8/3`

Find `3 ÷ 2 1/3`

Find `5 ÷ 3 4/7`

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

`3/7`

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

`5/8`

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

`9/7`

`6/5`

`12/7`

`1/8`

`1/11`

Find: `7/2 ÷2`

Find:`4/9 ÷ 5`

Find `6/13 ÷ 7`

Find `4 1/3 ÷ 3`

Find `3 1/2 ÷ 4`

Find `4 3/7 ÷ 7`

Find `2/5 ÷ 1/2`

Find `4/9 ÷ 2/3`

Find `3/7 ÷ 8/7`

Find `2 1/3 ÷ 1 2/3`

Find `3 1/2 ÷ 8/3`

Find `2/5 ÷ 1 1/2`

Find `3 1/5 ÷ 1 2/3`

Find `2 1/5 ÷ 1 1/5`

#### Chapter 2: Fractions and Decimals Exercise 2.50 solutions [Pages 47 - 48]

Which is greater? 0.5 or 0.05

Which is greater? 0.7 or 0.5

Which is greater? 7 or 0.7

Which is greater? 1.37 or 1.49

Which is greater? 2.03 or 2.30

Which is greater? 0.8 or 0.88

Express as rupees using decimals: 7 paise

Express as rupees using decimals: 7 rupees 7 paise

Express as rupees using decimals: 77 rupees 77 paise

Express as rupees using decimals: 50 paise

Express as rupees using decimals: 235 paise

Express 5 cm in metre and kilometre

Express 35 mm in cm, m and km

Express in kg: 200 g

Express in kg:3470 g

Express in kg: 4 kg 8 g

Write the given decimal numbers in the expanded form:

20.03

Write the given decimal numbers in the expanded form:

2.03

Write the given decimal numbers in the expanded form:

200.03

Write the given decimal numbers in the expanded form: 2.034

Write the place value of 2 in the following decimal numbers: 2.56

Write the place value of 2 in the following decimal numbers: 21.37

Write the place value of 2 in the following decimal numbers: 10.25

Write the place value of 2 in the following decimal numbers: 9.42

Write the place value of 2 in the following decimal numbers: 63.352

Dinesh went from place A to place B and from there to place C. A is 7.5 km from B and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A and C is 11.8 km from D. Who travelled more and by how much?

Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarala bought 4 kg 800 g oranges and 4 kg 150 g bananas. Who bought more fruits?

How much less is 28 km than 42.6 km?

#### Chapter 2: Fractions and Decimals Exercise 2.60 solutions [Page 52]

Find: 0.2 x 6

Find:8 × 4.6

Find: 2.71 × 5

Find 20.1 × 4

Find 0.05 × 7

Find: 211.02 × 4

Find 2 × 0.86

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

Find: 1.3 × 10

Find: 36.8 × 10

Find:153.7 ×10

Find:168.07 × 10

Find:31.1 × 10

Find:156.1 × 100

Find:3.62 × 100

Find: 43.07 × 100

Find:0.5 × 10

Find: 0.08 × 10

Find:0.9 × 100

Find:0.03 × 1000

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?

Find:2.5 × 0.3

Find:0.1 × 51.7

Find: 0.2 × 316.8

Find:1.3 × 3.1

Find: 0.5 × 0.05

Find:11.2 × 0.15

Find: 1.07 × 0.02

Find: 10.05 × 1.05

Find: 101.01 × 0.01

Find: 100.01 × 1.1

#### Chapter 2: Fractions and Decimals Exercise 2.70 solutions [Page 55]

Find: 0.4 ÷ 2

Find: 0.35 ÷ 5

Find:2.48 ÷ 4

Find: 65.4 ÷ 6

Find: 651.2 ÷ 4

Find: 14.49 ÷ 7

Find: 3.96 ÷ 4

Find: 0.80 ÷ 5

Find: 4.8 ÷ 10

Find:

52.5 ÷ 10

Find:

0.7 ÷ 10

Find:

33.1 ÷ 10

Find:

272.23 ÷ 10

Find:

0.56 ÷ 10

Find:

3.97 ÷ 10

Find: 0.3 ÷ 100

Find: 0.78 ÷ 100

Find:432.6 ÷ 100

Find: 23.6 ÷ 100

Find:98.53 ÷ 100

Find: 7.9 ÷ 1000

Find: 26.3 ÷ 1000

Find: 38.53 ÷ 1000

Find:128.9 ÷ 1000

Find: 0.5 ÷ 1000

Find: 7 ÷ 3.5

Find 36 ÷ 0.2

Find: 3.25 ÷ 0.5

Find: 30.94 ÷ 0.7

Find:0.5 ÷ 0.25

Find: 7.75 ÷ 0.25

Find: 76.5 ÷ 0.15

Find: 37.8 ÷ 1.4

Find: 2.73 ÷ 1.3

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?

## Chapter 2: Fractions and Decimals

#### NCERT Mathematics Class 7

#### Textbook solutions for Class 7

## NCERT solutions for Class 7 Mathematics chapter 2 - Fractions and Decimals

NCERT solutions for Class 7 Maths chapter 2 (Fractions and Decimals) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 7 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at shaalaa.com are providing such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 7 Mathematics chapter 2 Fractions and Decimals are Multiplication of Decimal Numbers, Division of a Decimal Number by Another Decimal Number, Division of a Decimal Number by a Whole Number, Division by 10, 100 and 1000, Multiplication of Decimal Numbers by 10, 100 and 1000, Concept of Decimal Numbers, Division of a Fraction by Another Fraction, Division of a Fraction by a Whole Number, Division of Whole Number by a Fraction, Multiplication of a Fraction by a Fraction, Multiplication of a Fraction by a Whole Number, Introduction of Fractions.

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

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