#### Chapters

## Chapter 4: Fractions and Decimals

### NCERT solutions for Mathematics Exemplar Class 6 Chapter 4 Fractions and Decimals Exercise [Pages 57 - 67]

#### Choose the correct alternative:

The fraction which is not equal to `4/5` is ______.

`40/50`

`12/15`

`16/20`

`9/15`

The two consecutive integers between which the fraction ______.

5 and 6

0 and 1

5 and 7

6 and 7

When `1/4` is written with denominator as 12, its numerator is ______.

3

8

24

12

Which of the following is not in the lowest form?

`7/5`

`15/20`

`13/33`

`27/28`

If `5/8 = 20/p`, then value of p is ______.

23

2

32

16

Which of the following is not equal to the others?

`6/8`

`12/16`

`15/25`

`18/24`

Which of the following fractions is the greatest?

`5/7`

`5/6`

`5/9`

`5/8`

Which of the following fractions is the smallest?

`7/8`

`9/8`

`3/8`

`5/8`

Sum of `4/17` and `15/17` is ______.

`19/17`

`11/17`

`19/34`

`2/17`

On subtracting `5/9` from `19/9`, the result is ______.

`24/9`

`14/9`

`14/18`

`14/0`

0.7499 lies between ______.

0.7 and 0.74

0.75 and 0.79

0.749 and 0.75

0.74992 and 0.75

0. 023 lies between ______.

0.2 and 0.3

0.02 and 0.03

0.03 and 0.029

0.026 and 0.024

`11/7` can be expressed in the form ______.

`7 1/4`

`4 1/7`

`1 4/7`

`11 1/7`

The mixed fraction `5 4/7` can be expressed as ______.

`33/7`

`39/7`

`33/4`

`39/4`

0.07 + 0.008 is equal to ______.

0.15

0.015

0.078

0.78

Which of the following decimals is the greatest?

0.182

0.0925

0.29

0.038

Which of the following decimals is the smallest?

0.27

1.5

0.082

0.103

13.572 correct to the tenths place is ______.

10

13.57

14.5

13.6

15.8 – 6.73 is equal to ______.

8.07

9.07

9.13

9.25

The decimal 0.238 is equal to the fraction ______.

`119/500`

`238/25`

`119/25`

`119/50`

#### Fill in the blank:

A number representing a part of a ______ is called a fraction.

Fractions with the same denominator are called ______ fractions.

Fractions with the same denominator are called ______ fractions.

`13 5/8` is a ______ fraction.

`18/5` is an ______ fraction.

`7/19` is a ______ fraction.

`5/8` and `3/8` are ______ proper fraction.

`6/11` and `6/13` are ______ proper fractions.

The fraction `6/15` in simplest form is ______.

The fraction `17/34` in simplest form is ______.

`18/135` and `90/675` are proper, unlike and ______ fractions.

`8 2/7` is equal to the improper fraction ______.

`87/7` is equal to the mixed fraction ______.

`9 + 2/10 + 6/100` is equal to the decimal number ______.

Decimal 16.25 is equal to the fraction ______.

Decimal 16.25 is equal to the fraction ______.

`17/9 + 41/9` = ______.

`67/14 - 24/14` = ______.

`17/2 + 3 1/2` = ______.

`9 1/4 - 5/4` = ______.

4.55 + 9.73 = ______.

8.76 – 2.68 = ______.

The value of 50 coins of 50 paisa = Rs ______.

3 Hundredths + 3 tenths = ______.

#### State whether the following statement is True or False:

Fractions with same numerator are called like fractions.

True

False

Fraction `18/39` is in its lowest form.

True

False

Fractions `15/39` and `45/117` are equivalent fractions.

True

False

The sum of two fractions is always a fraction.

True

False

The result obtained by subtracting a fraction from another fraction is necessarily a fraction.

True

False

If a whole or an object is divided into a number of equal parts, then each part represents a fraction.

True

False

The place value of a digit at the tenths place is 10 times the same digit at the ones place.

True

False

The place value of a digit at the hundredths place is `1/10` times the same digit at the tenths place.

True

False

The decimal 3.725 is equal to 3.72 correct to two decimal places.

True

False

In the decimal form, fraction `25/8` = 3.125.

True

False

The decimal 23.2 = `23 2/5`

True

False

The fraction represented by the shaded portion in the adjoining figure is ______.

True

False

The fraction represented by the unshaded portion in the adjoining figure is `5/9`.

True

False

`25/19 + 6/19 = 31/38`

True

False

`8/18 - 8/15 = 8/3`

True

False

`7/12 + 11/12 = 3/2`

True

False

3.03 + 0.016 =3.019

True

False

42.28 – 3.19 = 39.09

True

False

`16/25 > 13/25`

True

False

19.25 < 19.053

True

False

13.730 = 13.73

True

False

#### Fill in the blanks using ‘>’, ‘<’ or ‘=’ :

`11/16` ______ `14/15`

`8/15` ______ `95/14`

`12/75` ______ `32/200`

3.25 ______ 3.4

`18/15` ______ `1.3`

`6.25` ______ `25/4`

Write the fraction represented by the shaded portion of the adjoining figure:

Write the fraction represented by the unshaded portion of the adjoining figure:

Ali divided one fruit cake equally among six persons. What part of the cake he gave to each person?

Arrange 12.142, 12.124, 12.104, 12.401 and 12.214 in ascending order.

Write the largest four digit decimal number less than1using the digits 1, 5, 3 and 8 once.

Using the digits 2, 4, 5 and 3 once, write the smallest four digit decimal number.

Express `11/20` as a decimal.

Express `6 2/3` as an improper fraction.

Express `3 2/5` as a decimal.

Express 0.041 as a fraction.

Express 6.03 as a mixed fraction.

Convert 5201g to kg.

Convert 2009 paise to rupees and express the result as a mixed fraction.

Convert 1537cm to m and express the result as an improper fraction.

Convert 2435m to km and express the result as mixed fraction.

Arrange the fractions `2/3, 3/4, 1/2` and `5/6` in ascending order.

Arrange the fractions `6/7, 7/8, 4/5` and `3/4` in descending order.

Write `3/4` as a fraction with denominator 44.

Write `5/6` as a fraction with numerator 60.

Write `129/8` as a mixed fraction.

Round off 20.83 to nearest tenths.

Round off 75.195 to nearest hundredths.

Round off 27.981 to nearest tenths.

Add the fractions `3/8` and `2/3`.

Add the fractions `3/8` and `6 3/4`.

Subtract `1/6` from `1/2`.

Subtract `8 1/3` from `100/9`.

Subtract `1 1/4` and `6 1/2`.

Add `1 1/4` and `6 1/2`.

Katrina rode her bicycle `6 1/2` km in the morning and `8 3/4` km in the evening. Find the distance travelled by her altogether on that day.

A rectangle is divided into certain number of equal parts. If 16 of the parts so formed represent the fraction `1/4`. find the number of parts in which the rectangle has been divided.

Grip size of a tennis racquet is `11 9/80` cm. Express the size as an improper fraction.

On an average `1/10` of the food eaten is turned into organism’s own body and is available for the nextlevel of consumer in a food chain. What fraction of the food eaten is not available for the next level?

Mr. Rajan got a job at the age of 24 years and he got retired from the job at the age of 60 years. What fraction of his age till retirement was he in the job?

The food we eat remains in the stomach for a maximum of 4 hours. For what fraction of a day, does it remain there?

What should be added to 25.5 to get 50?

Alok purchased 1 kg 200 g potatoes, 250 g dhania, 5 kg 300 g onion, 500 g palak and 2 kg 600 g tomatoes. Find the total weight of his purchases in kilograms.

Arrange in ascending order:

0.011, 1.001, 0.101, 0.110

Add the following:

20.02 and 2.002

It was estimated that because of people switching to Metro trains, about 33000 tonnes of CNG, 3300 tonnes of diesel and 21000 tonnes of petrol was saved by the end of year 2007. Find the fraction of the quantity of diesel saved to the quantity of petrol saved.

It was estimated that because of people switching to Metro trains, about 33000 tonnes of CNG, 3300 tonnes of diesel and 21000 tonnes of petrol was saved by the end of year 2007. Find the fraction of the quantity of diesel saved to the quantity of CNG saved.

Energy content of different foods are as follows:

Food |
Energy Content per kg. |

Wheat | 3.2 Joules |

Rice | 5.3 Joules |

Potatoes (Cooked) | 3.7 Joules |

Milk | 3.0 Joules |

Which food provides the least energy and which provides the maximum?

Express the least energy as a fraction of the maximum energy.

A cup is `1/3` full of milk. What part of the cup is still to be filled by milk to make it full?

Mary bought `3 1/2` m of lace. She used `1 3/4` m of lace for her new dress. How much lace is left with her?

When Sunita weighed herself on Monday, she found that she had gained `1 1/4` 5 kg. Earlier her weight was `46 3/8` kg. What was her weight on Monday?

Sunil purchased `12 1/2` litres of juice on Monday and `14 3/4` litres of juice on Tuesday. How many litres of juice did he purchase together in two days?

Nazima gave `2 3/4` litres out of the `5 1/2` litres of juice she purchased to her friends. How many litres of juice is left with her?

Roma gave a wooden board of length `150 1/4` cm to a carpenter for making a shelf. The Carpenter sawed off a piece of `40 1/5` cm from it. What is the length of the remaining piece?

Nasir travelled `3 1/2` km in a bus and then walked `1 1/8` km to reach a town. How much did he travel to reach the town?

The fish caught by Neetu was of weight `3 3/4` kg and the fish caught by Narendra was of weight `2 1/2` kg. How much more did Neetu’s fish weigh than that of Narendra?

Neelam’s father needs `1 3/4` m of cloth for the skirt of Neelam’s new dress and `1/2` m for the scarf. How much cloth must he buy in all?

What is wrong in the following additions?

`8 1/2 = 8 2/4`

+ `4 1/4 = 4 1/4`

= `12 3/8`

What is wrong in the following additions?

`6 1/2`

+ `2 1/4`

= `8 2/6 = 8 1/3`

Which one is greater?

1 metre 40 centimetres + 60 centimetres or 2.6 metres.

#### Match the fractions of Column I with the shaded or marked portion of figures of Column II:

Column I |
Column II |

(i) `6/4` | (A) |

(ii) `6/10` | (B) |

(iii) `6/6` | (C) |

(iv) `6/16` | (D) |

(v) `6/7` | (E) |

Find the fraction that represents the number of natural numbers to total numbers in the collection 0, 1, 2, 3, 4, 5. What fraction will it be for whole numbers?

Write the fraction representing the total number of natural numbers in the collection of numbers –3, – 2, –1, 0, 1, 2, 3. What fraction will it be for whole numbers? What fraction will it be for integers?

Write a pair of fractions whose sum is `7/11` and difference is `2/11`.

What fraction of a straight angle is a right angle?

Put the card in the right bag.

Card - `3/7`

Put the card in the right bag.

Card - `4/4`

Put the card in the right bag.

Card - `9/8`

Put the card in the right bag.

Card - `8/9`

Put the card in the right bag.

Card - `5/6`

Put the card in the right bag.

Card - `6/11`

Put the card in the right bag.

Card - `18/18`

Put the card in the right bag.

Card - `19/25`

Put the card in the right bag.

Card - `2/3`

Put the card in the right bag.

Card - `13/17`

## Chapter 4: Fractions and Decimals

## NCERT solutions for Mathematics Exemplar Class 6 chapter 4 - Fractions and Decimals

NCERT solutions for Mathematics Exemplar Class 6 chapter 4 (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 Exemplar Class 6 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide 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 Mathematics Exemplar Class 6 chapter 4 Fractions and Decimals are Concept of Fractions, Fraction on the Number Line, Types of Fraction, Concept of Proper Fractions, Improper Fraction and Mixed Fraction, Concept for Equivalent Fractions, Like and Unlike Fraction, Simplest Form of a Fraction, Comparing Fractions, Addition of Fraction, Subtraction of Fraction, Concept of Decimal Numbers, Place Value in the Context of Decimal Fraction, Concept of Tenths, Hundredths and Thousandths in Decimal, Representing Decimals on the Number Line, Interconversion of Fraction and Decimal, Comparing Decimal Numbers, Using Decimal Number as Units, Addition of Decimal Numbers, Subtraction of Decimals Fraction.

Using NCERT Class 6 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 6 prefer NCERT Textbook Solutions to score more in exam.

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