The document NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev is a part of the Class 6 Course Mathematics (Maths) Class 6.

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**Exercise 7.4**

**Question 1: ****Write the shaded portion as a fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:**

**(a)**

**(b) **

**(c) Show **** on the number line. Put appropriate signs between the fractions given.**

**Answer 1:**

Ascending order:

Descending order:

Ascending order:

Descending order:

(c) Number line

**Question 2: ****Compare the fractions and put an appropriate sign.**

**Answer 2:**

**Question 3: ****Make five more each pairs and put appropriate signs. **

**Answer 3:**

**Question 4: ****Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions.**

**Make five more such problems and solve them with your friends. **

**Answer 4:**

**Five more such problems:**

**Solution:**

**Question 5: ****How quickly can you do this? Fill appropriate sign (‘<’, ‘=’, ‘>’)**

**Answer 5:**

**Question 6: ****The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.**

**(a) 2/12**

**(b) 3/15**

**(c) 8/50**

**(d) 16/100**

**(e) 10/60**

**(f) 15/75**

**(g) 12/60**

**(h) 16/96**

**(i) 12/75**

**(j) 12/72**

**(k) 3/18**

**(l) 4/25**

**Answer 6:**

**Equivalent groups:**

**Question 7: ****Find answers to the following. Write and indicate how you solved them.**

**(a) **

**(b) **

**(c) **

**(d) **

**Answer 7:**

[∴ L.C.M. of 9 and 5 is 45]

[∴ L.C.M. of 16 and 9 is 144]

[∴ L.C.M. of 5 and 20 is 100]

[∴ L.C.M. of 15 and 30 is 30]

**Question 8: ****Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who reads less?**

**Answer 8:**

Ila read 25 pages out of 100 pages.

Fraction of reading the pages = 25/100 = 1/4 th part of the book

Lalita read 2/5 th part of the book = 40/100 pages

Therefore, Ila read less.

**Question 9: ****Rafiq exercised for 3/6 of an hour, while Rohit exercised for 3/4of an hour. Who exercised for a longer time?**

**Answer 9:**

Rafiq exercised 3/6 of an hour.

Rohit exercised 3/4 of an hour.

Therefore, Rohit exercised for a longer time.

**Question 10: ****In class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?**

**Answer 10:**

In class A, 20 passed out of 25, i.e., 20/25 = 4/5

In class B, 24 passed out of 30, i.e., 24/30 = 4/5

Hence, each class have the same fraction of student getting a first class.

**Exercise 7.5**

**Question 1: ****Write these fractions appropriately as additions or subtractions:**

**(a)**

**(b) **

**(c) **

**Answer 1:**

**Question 2: ****Solve:**

**Answer 2:**

**Question 3: ****Shubham painted 2/3of the wall space in his room. His sister Madhavi helped and painted 1/3 of the wall space. How much did they paint together?**

**Answer 3:**

Fraction of wall painted by Shubham = 2/3

Fraction of wall painted by Madhavi = 1/3

Total painting by both of them =

Therefore, they painted the complete wall.

**Question 4: ****Fill in the missing fractions.**

**Answer 4:**

**(a) 4/10 (b) 8/21 (c) 6/6 (d) 7/27**

**Question 5: ****Javed was given a basket of oranges. What fraction of oranges was left in the basket?**

**Answer 5:**

**Total = 1**

**Fraction of Orange left **

Thus, 2/7 oranges were left in the basket.

**Exercise 7.6**

**Question 1: ****Solve**

**Answer 1:**

(a) L.C.M. of 3 and 7 is 21

(b) L.C.M. of 10 and 15 is 30

(c) L.C.M. of 9 and 7 is 63

(d)

(e)

(f)

(g)

(h)

(i)

(j)

(k)

(l)

(m)

(n)

**Question 2: ****Sarita bought 2/5 metre of ribbon and Lalita 3/4 metre of ribbon. What is the total length of the ribbon they bought?**

**Answer 2:**

Ribbon bought by Sarita = 2/5 m and Ribbon bought by Lalita = 3/4 m

The total length of ribbon =

Therefore, they bought of ribbon.

**Question 3: ****Naina was given ** **piece of cake and Najma was given ** **piece of cake. Find the total amount of cake was given to both of them.**

**Answer 3:**

Cake taken by Naina = piece and Cake taken by Najma piece

Total cake taken

Therefore, the total consumption of cake is

**Question 4: ****Fill in the boxes: **

**Answer 4:**

**Question 5: ****Complete the addition-subtraction box.**

**Answer 5:**

**Question 6: ****A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long. How long is the other piece?**

**Answer 6:**

The total length of wire = 7/8 meter

Length of first part = 1/4 meter

Remaining part [∴ L.C.M. of 8 and 4 is 8]

Therefore, the length of the remaining part is 5/8 meter.

**Question 7: ****Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for 1/2 km to reach the school. How far did she walk?**

**Answer 7:**

The total distance between school and house 9/10 km

Distance covered by bus = 1/2 km

Remaining distance [∴ L.C.M. of 10 and 2 is 10]

Therefore, the distance covered by walking is 2/5 km.

**Question 8: ****Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction?**

**Answer 8:**

⇒ [∴ L.C.M. of 6 and 5 is 30]

∴

⇒

∴ Asha’s bookshelf is more covered than Samuel.

**Question 9: ****Jaidev takes ****minutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?**

**Answer 9:**

Time taken by Jaidev =** **minutes = 11/5 minutes

Time taken by Rahul = 7/4 minutes

Difference [∴ L.C.M. of 5 and 4 is 20]

Thus, Rahul takes less time, which is 9/20 minutes.

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