**Exercise 2.1**

**Question 1: Compare the following fractions by using the symbol > or < or =:**

**(i) (7/9) and (8/13)**

**(ii) (11/9)and (5/9)**

**(iii) (37/41) and (19/30)**

**(iv) (17/15) and (119/105)**

**Solution 1:**

**Question 4: Write five equivalent fraction of (3/5).**

**Solution:**

**Question 16. Provide the number in box [ ] and also give its simplest form in each of the following:**

**(i) 2/3 × [ ] = 10/30**

**(ii) 3/5 × [ ] = 24/75**

**Solution 16:**

**Exercise 2.2**

**Question 5. Which is greater? 1/2 of 6/7 or 2/3 of 3/7**

**Solution 5:**

**Question 6: Find:**

**(i) 7/11 of Rs 330**

**(ii) 5/9 of 108 meters**

**(iii) 3/7 of 42 liters**

**(iv) 1/12 of an hour**

**(v) 5/6 of an year**

**(vi) 3/20 of a kg**

**(vii) 7/20 of a liter**

**(viii) 5/6 of a day**

**(ix) 2/7 of a week**

**Solution 6:**

**Question 7: Shikha plants 5 saplings in a row in her garden. The distance between two adjacent saplings is 3/4 m. Find the distance between the first and the last sapling.**

**Solution 7:**

**Question 8: Ravish reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2 1/5 hours?**

**Solution 8:**

^{1}/

_{5}hours

^{1}/

_{5 }= (5 x 2 + 1) = 11/5

**Question 9: Lipika reads a book for 1**

^{3}/_{4}3/4 hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?**Solution 9:**

^{3}/

_{4}

^{3}/

_{4 }=( 4 ×1 +3) = 7/4

**Question 10: Find the area of a rectangular park which is 41 2/3 m along and 18 3/5 m broad.**

**Solution 10:**

^{2}/

_{3}

^{2}/

_{3}=( 3 ×41 +2) = 125/3

^{3}/

_{5}=( 5 ×18 +3) = 93/5

^{2}is the area of the rectangular part.

**Question 11: If milk is available at Rs 17**

^{3}/_{4}per liter, find the cost of 7^{2}/_{5 }**liters of milk.**

**Solution 11:**

^{3}/

_{4}

^{2}/

_{5}

^{2}/

_{5}=( 5 ×7+2) = Rs. 37/5

^{7}/

_{4}

^{2}/

_{5}liters of milk is Rs. 131

^{7}/

_{4}

**Question 12: Sharada can walk 8**

^{1}/_{3}km in one hour. How much distance will she cover in 2 2/5 hours?

**Solution 12:**

^{1}/

_{3}

^{1}/

_{3}=( 3 ×8+1) = Rs. 25/3 km

^{2}/

_{5}hours = 12/5

^{2}/

_{5}hours in 20 km.

**Question 13: A sugar bag contains 30kg of sugar. After consuming 2/3 of it, how much sugar is left in the bag?**

**Solution 13:**

**Question 14: Each side of a square is 6**

^{2}/_{3}m long. Find its area.**Solution 14:**

^{2}/

_{3}

^{2}

^{2}

**Question 15. There are 45 students in a class and 3/5 of them are boys. How many girls are there in the class?**

**Solution 15:**

**Exercise 2.3**

**Question 2: Divide:**

**(i) 3/8 by 5/9**

**(ii) 3**

^{1}/_{4}by 2/3**(iii) 7/8 by 4**

^{1}/_{2}**(iv) 6**

^{1}/_{4}by 2^{3}/_{5}**Solution 2:**

^{1}/

_{4}by 2/3

^{1}/

_{2}

^{1}/

_{4}by 2

^{3}/

_{5}

^{1}/

_{4}=( 4 ×6+1) = 25/4

^{3}/

_{5}=( 5 ×2+3) = 13/5

^{21}/

_{52 }

**Question 3. Divide:**

**(i) 3/8 by 4**

**(ii) 9/16 by 6**

**(iii) 9 by 3/16**

**(iv) 10 by 100/3**

**Solution 3:**

**Question 4. Simplify:**

**(i) 3/10 ÷ 10/3**

**(ii) 4 3/5÷ 4/5**

**(iii) 5 4/7 ÷ 1 3/10**

**(iv) 4 ÷ 2 2/5**

**Solution 4:**

**Question 5. A wire of length 12**

^{1}/_{2}m is cut into 10 pieces of equal length. Find the length of each piece.**Solution 5:**

^{1}/

_{2}

^{1}/

_{2}=( 2 ×12+1) = 25/2 m.

^{1}/4 m

^{1}/4 m.

**Question 6. The length of rectangular plot of area 65**

^{1}/_{3}m^{2}is 12^{1}/_{4}m. What is the width of the plot?**Solution 6:**

^{1}/

_{3}m

^{2}

^{1}/

_{4 }m

^{1}/

_{3}=( 3 ×65+1) = 196/3 m

^{2}

^{1}/

_{4}=( 2 ×12+1) = 49/4 m.

^{1}/

_{3}

^{1}/

_{3.}

**Question 7. By what number should 6**

^{2}/_{9}be multiplied to get 4^{4}/_{9}?

**Solution 7:**

^{2}/

_{9}

^{2}/

_{9}=( 9 ×6+2) = 56/9

^{4}/

_{9}= ( 9 ×4+4) = 40/9

**Question 8 The product of two numbers is 25**

^{5}/_{6}. If one of the numbers is 6^{2}/_{3}., find the other.**Solution 8:**

^{5}/

_{6}

^{7}/

_{8}

^{7}/

_{8}.

**Question 9: The cost of 6 (1 )/(4 ) kg of apples is Rs 400. At what rate per kg are the apples being sold?**

**Solution 9:**

**Question 10: By selling oranges at the rate of Rs 5 (1 )/(4 ) per orange, a fruit-seller gets Rs 630. How many dozens of oranges does he sell?**

**Solution 10:**

**Question 11: In mid-day meal scheme (3 )/10 liter of milk is given to each student of a primary school. If 30 liters of milk is distributed every day in the school, how many students are there in the school?**

**Solution 11:**

**Question 12: In a charity show Rs 6496 were collected by selling some tickets. If the price of each ticket was Rs 50 (3 )/4, how many tickets were sold?**

**Solution12:**