RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

RD Sharma Solutions for Class 6 Mathematics

Created by: Abhishek Kapoor

Class 6 : RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

The document RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.
All you need of Class 6 at this link: Class 6

Q1. Write the fractions and check whether they are equivalent or not :

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(i) Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Yes, they are equivalent

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii)

Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Fraction = RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Yes, they are equivalent

 

Q2. Write the fractions and match fractions in column I with the equivalent fractions in column II.

 RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev
RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev
RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev
RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Ans:

(i)(b )

(ii)(c )

(iii)(a )

(iv)(d )

 

Q3. Replace * in each of the following by the correct number :

(i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(v) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Ans :

i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(v) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

 

Q4. Find the equivalent fraction of RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev, having :

(i) Numerator 9

(ii) Denominator 30

(iii) Denominator 21

(iv) Numerator 40

Ans :

(i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Consider the numerator = 9

As 3 x 3 = 9, we will multiply both the numerator and denominator by 3 , we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 30

Consider the denominator = 30

As 5 x 6 = 30 , we multiply both the numerator and denominator by 6, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 21

Consider the denominator = 21

As 3 x 7 = 21 , we multiply both the numerator and denominator by 7, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 40

Consider the numerator = 40

As 5 x 8 = 40 , we multiply both the numerator and denominator by 8, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

 

Q5. Find the fraction equivalent to 4560, having :

(i) Numerator 15

(ii) Denominator 4

(iii) Denominator 240

(iv) Numerator 135

Ans :

(i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 15

Consider the numerator = 15

As 45÷3=15 , we will divide both the numerator and denominator by 3 , we have ,

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 4

Consider the denominator = 4

As 60÷15=4 , we divide both the numerator and denominator by 15 ,

we have ,

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 240

Consider the denominator = 240

As 60 x 4 = 240 , we multiply both the numerator and denominator by 4, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 135

Consider the numerator = 135

As 45 x 3 = 135 , we multiply both the numerator and denominator by 3, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

 

Q6. Find the fraction equivalent to 3542 , having :

(i) Numerator 15

(ii) Denominator 18

(iii) Denominator 30

(iv) Numerator 30

Ans :

Firstly, we will reduce RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev into the lowest term. Now, we will divide both the numerator and denominator by the HCFs of 35 and 42 , i.e 7, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 15

Consider the numerator = 15

As 5 x 3 = 15, we will multiply both the numerator and denominator by 3 , we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev= 18

Consider the denominator = 18

As 6 x 3 = 18 , we multiply both the numerator and denominator by 3, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii)RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 30

Consider the denominator = 30

As 6 x 5 = 30 , we multiply both the numerator and denominator by 5, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev = 30

Consider the numerator = 30

As 5 x 6 = 30 , we multiply both the numerator and denominator by 6, we have

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

 

Q7. Check whether the given fractions are equivalent :

(i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(v) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(vi) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Ans.

(i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Hence, the given fractions are equivalent

(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

27 is not equivalent to RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev is not equivalent to RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev is equivalent to RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(v) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev is not equivalent RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(vi) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev is equivalent RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

 

Q8. Match the equivalent fractions and write another 2 for each :

(i) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev(a ) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev
(ii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev(b ) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev
(iii) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev(c ) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev
(iv) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev(d ) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev
(v) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev(e ) RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

Ans :

The correct matches for the above question are given below :

(i) (d), RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(ii) (e), RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iii) (a),RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(iv) (c), RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

(v) (b), RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

 

Q9. Write some equivalent fractions which contain all digits from 1 to 9 once only.

Ans . RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev

 

Q 10. Ravish had 20 pencils , sikha had 50 pencils and priya had 80 pencils. After 4 months, Ravish used up 10 pencils, sikha used up 25 pencils and priya used 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of their pencils?

Ans :

Total pencils Ravish had = 20

Pencils used by Ravish = 10

Fraction of pencils used by ravish = 10÷RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev÷10=12 (Dividing both the numerator & denominator by the HCFs of 10 & 20 )

Total pencils Shikha had = 50 Pencils used by Shikha = 25 Fraction of pencils used by Shikha = 25÷RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev÷25=12 (Dividing both the numerator & denominator by the HCFs of 25 & 50 )

Total pencils Priya had = 80

Pencils used by Priya = 40

Fraction of pencils used by Priya = 40÷RD Sharma Solutions -Ex-6.5, Fractions, Class 6, Maths Class 6 Notes | EduRev÷40=12 (Dividing both the numerator & denominator by the HCFs of 40 & 80 )

Yes, each of them has utilized an equal fraction of pencils.

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