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# RD Sharma Solutions -Ex-6.7, 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-6.7, Fractions, Class 6, Maths Class 6 Notes | EduRev

The document RD Sharma Solutions -Ex-6.7, 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 each fraction. Arrange them in ascending and descending order using correct sign ‘ < ‘ , ‘ = ‘ > ‘ between the fractions:

Ans :

Q2. Mark  on the number line and put appropriate signs between fractions given below :

i) −−−−−−−−−−

ii) −−−−−−−−−−

iii) −−−−−−−−−−

iv) −−−−−−−−−−

Ans :

i) 56 > 26 because 5 > 2 and the denominator is the same.

ii) 36 > 06 because 3 > 0 and the denominator is the same.

iii) 16 < 66 because 6 > 1 and the denominator is the same.

iv) 86 > 56 because 8 > 5 and the denominator is the same.

Q3. Compare the following fractions and put an appropriate :

i) −−−−−−−−−−

ii) −−−−−−−−−−

iii) −−−−−−−−−−

iv) −−−−−−−−−−

Ans :

i) 36 < 56 because 3 < 5 and the denominator is the same.

ii) 45 > 05 because 4 > 0 and the denominator is the same.

iii) 320 < 420 because 3 < 4 and the denominator is the same.

iv) 17 < 14 because 7 > 4; if the numerator is the same, then the fraction that has smaller denominator is greater.

Q4. Compare the following fractions using the symbol > or < :

i)

ii)

iii)

iv)

v)

vi)

Ans :

i) because if the numerator is the same, then the fraction with smaller denominator is greater.

ii)  because 3 < 5 and the denominator is the same.

iii)  therefore,

iv) ,therefore ( Because 3 < 4 and the denominator is the same.

Therefore,

v)  Because if the numerator is the same, then the fraction with smaller denominator is greater.

vi)

( Because 135 > 32 and the denominator is the same )

Therefore,

Q 5. The following fractions represent just three different numbers. Separate them in to three groups of equal fractions by changing each one to its simplest form:

i)

ii)

iii)

iv)

v)

vi)

vii)

viii)

ix)

x)

xi)

xii)

Ans :

i)

HCF of 2 & 12 is 2.

Divide both the numerator & denominator by the HCF of 2 &12

ii)

HCF of 3 &15 is 3.

Divide both the numerator & denominator by the HCF of 3 &15.

iii)

HCF of 8 & 50 is 2.

Divide both the numerator & denominator by the HCF of 8 & 50.

iv)

HCF of 16 & 100 is 4.

Divide both the numerator & denominator by the HCF of 16 & 100.

v)

HCF of 10 & 60 is 10.

Divide both the numerator & denominator by the HCF of 10 & 60.

vi)

HCF of 15 & 75 is 15.

Divide both the numerator & denominator by the HCF of 15 & 75.

v)

HCF of 12 & 60 is 12.

Divide both the numerator & denominator by the HCF of 12 & 60.

vii)

HCF of 16 & 96 is 16.

Divide both the numerator & denominator by the HCF of 16 & 96

viii)

HCF of 12 & 75 is 3.

Divide both the numerator & denominator by the HCF of 12 & 75.

ix)

HCF of 12 & 72 is 12.

Divide both the numerator & denominator by the HCF of 12 & 72

x)

HCF of 3 & 18 is 3.

Divide both the numerator & denominator by the HCF of 3 & 18.

xi)

HCF of 4 & 25 is 1.

Divide both the numerator & denominator by the HCF of 4 & 25

Three groups of equal fractions :

Q 6 . Isha read 25 pages of a book containing 100 pages. Nagma read  of the same book. Who read less ?

ANS :

Total pages in the book = 100

Fraction of the book read by Isha =

(Dividing numerator & denominator by the HCF of 25 & 100)

Fraction of the book read by Nagma = 12

Now, compare 14 & 12.

LCM of 4 & 2 is 4.

Convert each fraction into equivalent fraction with 4 as its denominator.

Q 7 . Arrange the following fractions in the ascending order :

i)

ii)

iii)

iv)

v)

vi)

vii)

Ans :

i) , when the denominators are the same and numerators are different , then the fraction with greater numerator has a larger value.

ii)  , when numerator are the same and denominators are different , the fraction with greater denominator has a smaller value.

iii)

When numerators are the same and denominator has a smaller value.

iv)

When denominators are the same and numerators are different, then the fraction with greater numerator has a larger value.

v) LCM of 2 , 4 and 5 is 20

Q 8 . Arrange in descending order in each of the following using symbols > :

i)

ii)

Ans 8)

Q 9 . Find answers to the following. Write and indicate how you solved them.

i) Is  equal to  ?

ii) Is  equal to  ?

iii) Is  equal to  ?

iv) Is  equal to  ?

Ans. 9)

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