NCERT Solutions for Class 6 Maths Chapter 7 Fractions (Ex 7.1) Exercise 7.1

NCERT Solutions for Class 6 Maths Chapter 7 Fractions (Ex 7.1) Exercise 7.1

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Maths Class 6 Chapter 7 is Fractions. It is a number representing part of a whole. A whole may be defined as a single object. In this chapter, students learn to represent a fraction on a number line. All fractions less than 1 are proper fractions, and all fractions greater than 1 are improper fractions.In a mixed fraction, there is a combination of a whole and a part.. A fraction is said to be in its lowest terms or simplest form if its numerator and denominator have no other common factor except 1. The fractions with the same denominators are called like fractions, and the fractions with different denominators are known as unlike fractions. Students can score maximum marks in Maths if they pay attention to the subject. As a part of the curriculum of Class 6 Maths, students are introduced to a wide variety of concepts that can be difficult for them. Therefore, Extramarks provides students with  NCERT Class 6 Maths Chapter 7 Exercise 7.1, so that they can properly understand the concepts of the chapter and resolve their doubts. Among the best resources for preparing for examinations are NCERT solutions. The NCERT Solutions Class 6 Maths Chapter 7 Exercise 7.1 can help students solve any complicated problem they may encounter during the examination once they have thoroughly gone through them.

Access Other Exercises of Class 6 Maths Chapter 7

Chapter 7 – Fractions Exercises
Exercise 7.2
3 Questions & Solutions
Exercise 7.3
9 Questions & Solutions
Exercise 7.4
10 Questions & Solutions
Exercise 7.5
5 Questions & Solutions
Exercise 7.6
9 Questions & Solutions

NCERT Solutions for Class 6 Maths Chapter 7 Fractions (Ex 7.1) Exercise 7.1 

The Class 6 Maths Chapter 7 Exercise 7.1 is a very important resource that students need to prepare for in-school as well as competitive examinations. Students who want to pursue Maths in their higher classes or who want to perform well in any competitive examination should read the Class 6 Maths Chapter 7 Solution very carefully. Since its inception, Extramarks has been committed to helping students achieve academic excellence. Whether it is an in-school or competitive examination, it provides them with all the resources they need to get higher marks. The Maths Class 6 Chapter 7 Exercise 7.1 provided by Extramarks is curated by the in-house subject experts. Students can easily understand these solutions because they are written in simple language. These are one of the most detailed and easy solutions they can find. The Class 6 Maths Exercise 7.1 Solution can be easily downloaded on any device in PDF format. Students can use these solutions as a credible resource for their preparation.

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Q.1 Write the fraction representing the shaded portion.

Ans.

( i ) 2 4      ( ii ) 8 9     ( iii ) 4 8     ( iv ) 1 4      ( v ) 3 7      ( vi ) 3 12     ( vii ) 10 10     ( viii ) 4 9    ( ix ) 4 8     ( x ) 1 2 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@AA38@

Q.2 Colour the part according to the given fraction.

(a) (b)

(c)

(e)

Ans.

Colour the part according to the given fraction.

(a) (b)

(c)

(e)

Q.3 Identify the error, if any
(a)

This is   1 2 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacaqGubGaaeiAaiaabMgacaqGZbGaaeiiaiaabMgacaqGZbGaaGPaVlaaykW7daWcaaqaaGqabiaa=fdaaeaacaWFYaaaaaaa@43CC@

(b)

This is 1 4 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacaqGubGaaeiAaiaabMgacaqGZbGaaeiiaiaabMgacaqGZbWaaSaaaeaaieqacaWFXaaabaGaa8hnaaaaaaa@40B8@

(c)

This is 3 4 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacaqGubGaaeiAaiaabMgacaqGZbGaaeiiaiaabMgacaqGZbWaaSaaaeaaieqacaWFZaaabaGaa8hnaaaaaaa@40BA@

Ans.

(a)

This is

1 2 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaGqaaiaa=fdaaeaacaWFYaaaaaaa@3A8C@

This is incorrect as the shaded portion does not represent the required fraction.
(b)

This is

1 4 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaigdaaeaacaaI0aaaaaaa@3A97@

This is incorrect as the shaded portion does not represent the required fraction.
(c)

This is

3 4 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaiodaaeaacaaI0aaaaaaa@3A99@

This is incorrect as the shaded portion does not represent the required fraction.

Q.4 What fraction of a day is 8 hours?

Ans.

Number of hours in a day = 24 hours

Fraction =

8 24 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaiIdaaeaacaaIYaGaaGinaaaaaaa@3B5A@

Q.5 What fraction of an hour is 40 minutes?

Ans.

Number of minutes in an hour = 60 minutes

Fraction =

40 60 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaisdacaaIWaaabaGaaGOnaiaaicdaaaaaaa@3C10@

Q.6 Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.
(a) How can Arya divide his sandwiches so that each person has an equal share?
(b) What part of a sandwich will each boy receive?

Ans.

(a) each sandwich will be divided into 3 equal parts, so that each one of them get equal share.

(b) Number of parts of sandwich = 6
Every one of them will get 2 pieces each, out of 6 pieces. Each boy will get part =

2 6 = 1 3 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaikdaaeaacaaI2aaaaiabg2da9maalaaabaGaaGymaaqaaiaaiodaaaaaaa@3D28@

Q.7 Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?

Ans.

Total dresses to dye = 30

Dresses done dying = 20

Fraction

= 20 30 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqGH9aqpdaWcaaqaaiaaikdacaaIWaaabaGaaG4maiaaicdaaaaaaa@3D11@

Q.8 Write the natural numbers from 2 to 12. What fraction of them are prime numbers?

Ans.

Natural numbers from 2 to 12 = 11

Prime numbers = 2, 3, 5, 7, 11

Fraction

= 5 11 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqGH9aqpdaWcaaqaaiaaiwdaaeaacaaIXaGaaGymaaaaaaa@3C59@

Q.9 Write the natural numbers from 102 to 113. What fraction of them are prime numbers?

Ans.

Natural numbers from 102 to 113 = 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113.

Prime numbers among them = 103, 107, 109, 113

Fraction =

4 12 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaisdaaeaacaaIXaGaaGOmaaaaaaa@3B53@

Q.10 What fraction of these circles have X’s in them?

Ans.

Number of circles having X’s in them = 4

Fraction =

4 8 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaisdaaeaacaaI4aaaaaaa@3A9E@

Q.11 Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Ans.

CDs bought by Kristin = 3

CDs received as gifts = 5

Total = 8

Fraction of CDs she buy =

3 8 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaiodaaeaacaaI4aaaaaaa@3A9D@

Fraction of CDs gifted =

5 8 MathType@MTEF@5@5@+=feaaguart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8wrps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaadaWcaaqaaiaaiwdaaeaacaaI4aaaaaaa@3A9F@

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FAQs (Frequently Asked Questions)

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The chapter helps to learn the mechanism of addition and subtraction of all types of fractions. It gives students an idea about comparing the fractions, that is, which fraction is greater and which one is smaller and a representation of the fractions on a number line. If two fractions have the same numerator, the fraction with the smaller denominator will be greater. The difference between the like fraction and the unlike fraction is that the like fractions have the same denominators, but the unlike fractions do not have the same denominators. There are many equivalent fractions for each proper or improper fraction. Equivalent fractions can be obtained by multiplying or dividing both the numerator and the denominator of the given fraction by the same number.