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**Q1. Write each fraction. Arrange them in ascending and descending order using correct sign â€˜ < â€˜ , â€˜ = â€˜ > â€˜ between the fractions:**

**Ans :**

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

**i) ****âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**ii) ****âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**iii) ****âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**iv) ****âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**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) âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**ii) âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**iii) âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**iv) âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’**

**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.

Therefore, Isha read less.

**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)**