CBSE Important Questions Class 6 Maths Chapter 7 – Fractions

Class 6 Maths Chapter 7 Fractions is part of the new NCERT textbook Ganita Prakash. It teaches students what a fraction means as a part of a whole, how to read fractions on a number line, how to find equivalent fractions, and how to compare, add and subtract fractions by making their denominators the same. Students also learn to find a fraction of a given quantity, which is used in many everyday problems.

These CBSE important questions for Class 6 Maths Chapter 7 cover finding a fraction of a length, a tank of water, money and a group of students, sharing a chocolate bar, comparing fractions with the same numerator, folding paper into equal parts, and finding the leftover part of a sheet. Every question has a clear step-by-step answer in simple English, so students can practise on their own, parents can check the working, and teachers can use them for class tests. A free printable PDF of these important questions is also available on this page.

CBSE Important Questions Class 6 Maths Chapter 7 – Fractions

Fractions (New NCERT)

Medium

Q.

​Answer the following questions after looking at the fraction wall:

​How many pieces of length $$\frac16$$​ will make a length of $$\frac12$$​?​

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Fractions (New NCERT)

Medium

Q.

​$$\frac{7}{9}-\frac{5}{9}$$​​

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Fractions (New NCERT)

Medium

Q.

​Write following fractions ascending order.

(a) $$\frac{7}{10}, \frac{11}{15}, \frac{2}{5}$$

(b) $$\frac{19}{24}{,}\frac{5}{6}{,}\frac{7}{12}$$​​

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Fractions (New NCERT)

Medium

Q.

​Three rotis are shared equally by four children, show the division in the picture and write a fraction of how much each child gets. Also, write the corresponding division facts, addition facts, and, multiplication facts.

​The fraction of roti each child gets is ___________

Division fact:

Addition fact:

Multiplication fact:

Compare your picture and answer with your classmates!​

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Fractions (New NCERT)

Medium

Q.

​Answer the following questions after looking at the fraction wall:

​How many pieces of length $$\frac16$$​ will make a length of $$\frac{1}{3}$$​?​

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Fractions (New NCERT)

Medium

Q.

​Solve the following problems:

(a) Jaya’s school is $$\frac7{10}$$​ km from her home. She takes an auto for $$\frac12$$​ km from her home daily, and then walks the remaining distance to reach her school. How much does she walk daily to reach the school?

(b) Jeevika takes $$\frac{10}3$$​ minutes to take a complete round of the park and her friend Namit takes $$\frac{13}4$$​ minutes to do the same. Who takes less time and by how much?​

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Fractions (New NCERT)

Medium

Q.

​Subtract as indicated:

​$$\rm { (a) }~ \frac{13}{4} \ {~ from ~} \frac{10}{3}$$

​$$\rm { (b) } ~\frac{18}{5} \ { from } ~\frac{23}{3}$$

$$\rm(c)~\frac{29}{7} \ {~ from ~~} \frac{45}{7}$$​​​

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Fractions (New NCERT)

Medium

Q.

​Carry out the following subtractions using Brahmagupta’s method:

(a) $$\frac{8}{15}-\frac{3}{15}$$​​

(b) $$\frac{2}{5}-\frac{4}{15}$$​​

(c) $$\frac{5}{6}-\frac{4}{9}$$​​

(d) $$\frac{2}{3}-\frac{1}{2}$$​​

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Fractions (New NCERT)

Medium

Q.

​$$\frac{5}{8}-\frac{3}{8}$$​​

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Fractions (New NCERT)

Medium

Q.

​Draw a picture to show how much each child gets when 2 rotis are shared equally by 4 children. Also, write the corresponding division facts, addition facts, and multiplication facts.

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Fractions (New NCERT)

Medium

Q.

​Geeta bought $$\frac25$$​ meter of lace and Shamim bought $$\frac34$$​ meter of the same lace to put a complete border on a table cloth whose perimeter is 1 meter long. Find the total length of the lace they both have bought. Will the lace be sufficient to cover the whole border?​

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Fractions (New NCERT)

Medium

Q.

​Rahim mixes $$\frac{2}{3}$$​ liters of yellow paint with $$\frac{3}{4}$$​ liters of blue paint to make green paint What is the volume of green paint he has made?​​​​​

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Fractions (New NCERT)

Medium

Q.

​Write the following fractions in descending order.

(a) $$\frac{25}{16}, \frac{7}{8}, \frac{13}{4}, \frac{17}{32}$$​​

(b) $$\frac{3}{4}, \frac{12}{5}, \frac{7}{12}, \frac{5}{4}$$​​

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Fractions (New NCERT)

Medium

Q.

​Express the following fractions in lowest terms:

(a) $$\frac{17}{51}$$​​

(b) $$\frac{64}{144}$$​​

(c) $$\frac{126}{147}$$​​

(d) $$\frac{525}{112}$$​​

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Fractions (New NCERT)

Medium

Q.

​Find the missing numbers:

(a) 5 glasses of juice shared equally among 4 friends is the same as ____________ glasses of juice shared equally among 8 friends. So, $$\frac{5}{4}=\frac{?}{8}$$​

(b) 4 kg of potatoes divided equally in 3 bags is the same as 12 kgs of potatoes divided equally in ____________ bags. So, $$\frac{4}{3}=\frac{12}{?} .$$​​

(c) 7 rods divided among 5 children is the same as rods divided among children. So, $$\frac75$$​ = ____________​

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Fractions (New NCERT)

Medium

Q.

​Anil was in a group where 2 cakes were divided equally among 5 children. How much cake would Anil get?​

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Fractions (New NCERT)

Medium

Q.

​$$\frac{10}{27}-\frac{1}{27}$$​​

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Q1. A rope is 100 m long. If 1/5 of the rope is cut off, what is the length of the remaining rope? Explain your steps.

Answer: Total length of the rope = 100 m
Length of the rope cut = 1/5 of 100 m = (1/5) × 100 m = 20 m
Length of the remaining rope = Total length − Length cut
= 100 m − 20 m = 80 m
Therefore, the length of the rope left is 80 m.

Q2. A tank is 3/4 full and holds 200 L when full. How much water is in it now?
(a) 100 L
(b) 150 L
(c) 175 L
(d) 200 L

Answer: (b) 150 L
Capacity of the tank when full = 200 L
Water in the tank now = 3/4 of 200 L = (3/4) × 200 = 150 L

Q3. 1/5 of a 100 m rope is cut. How much is left?
(a) 20 m
(b) 40 m
(c) 50 m
(d) 80 m

Answer: (d) 80 m
Length of the rope = 100 m
Length cut = (1/5) × 100 = 20 m
Rope left = 100 − 20 = 80 m

Q4. If 1/3 of 45 students are absent, how many are present?
(a) 30
(b) 25
(c) 15
(d) 35

Answer: (a) 30
Total students = 45
Students absent = (1/3) × 45 = 15
Students present = 45 − 15 = 30

Q5. How many more 1/5's need to be added to 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 to convert this into an exact (whole) number?
(a) 1
(b) 2
(c) 3
(d) 4

Answer: (d) 4
1/5 added six times gives 6/5, which is 1 and 1/5. It is not a whole number.
The next whole number is 2, which is 10/5.
10/5 − 6/5 = 4/5, so 4 more fifths are needed.

Q6. Anu, Bina and Chitra share a chocolate bar. Anu gets 1/3 of it and Bina gets 2/5 of it. What fraction does Chitra get?

Answer: Chitra's share = 1 − 1/3 − 2/5
First make the denominators the same. The LCM of 3 and 5 is 15.
1/3 = 5/15 and 2/5 = 6/15
Anu and Bina together get 5/15 + 6/15 = 11/15
Chitra's share = 15/15 − 11/15 = 4/15
So, Chitra gets 4/15 of the chocolate bar.

Q7. Rahul claims that 19/5 is greater than 19/4 as the denominator of the first one is greater than the second. Is Rahul correct?

Answer: No, Rahul is not correct.
When the numerator is the same, a bigger denominator means the whole is cut into more pieces, so each piece is smaller. In other words, 1/5 is smaller than 1/4.
It is like sharing the same thing among 5 people instead of 4 people — the more people there are, the less each one gets.
So, 19/5 is less than 19/4, that is, 19/5 < 19/4.

Q8. If you fold a square paper into 4 equal parts and then fold each part into 3 equal parts, what fraction of the original square is each small part?

Answer: After the first fold, each part is 1/4 of the square.
Each of these parts is then folded into 3 equal parts, so each small part = (1/4) × (1/3) = 1/12.
We can also count directly: 4 × 3 = 12 equal parts in all.
So, each small part is 1/12 of the original square.

Q9. A water tank is 2/3 full. If 1/4 of the water is used, what fraction of the tank remains filled?

Answer: Water used = (1/4) of (2/3) = (1/4) × (2/3) = 2/12 = 1/6 of the whole tank.
Fraction of the tank that remains filled = 2/3 − 1/6
The LCM of 3 and 6 is 6, so 2/3 = 4/6.
= 4/6 − 1/6 = 3/6 = 1/2
So, 1/2 of the tank remains filled.

Q10. Rohan spent 2/5 of his money on books and 1/4 of his money on stationery. What fraction of his money is left? Is it more or less than half?

Answer: Total money spent = 2/5 + 1/4
The LCM of 5 and 4 is 20, so 2/5 = 8/20 and 1/4 = 5/20.
Total spent = 8/20 + 5/20 = 13/20
Money left = 1 − 13/20 = 20/20 − 13/20 = 7/20
Now compare with half: 1/2 = 10/20. Since 7/20 < 10/20, the money left is less than half.
So, 7/20 of his money is left, and it is less than half.

Q11. A rectangular sheet is divided into equal parts. If 3/8 of the sheet is coloured red and 2/5 of the sheet is coloured blue, what fraction of the original sheet is neither red nor blue?
(a) 40/31
(b) 31/40
(c) 9/40
(d) 40/9

Answer: (c) 9/40
Red + blue = 3/8 + 2/5
The LCM of 8 and 5 is 40, so 3/8 = 15/40 and 2/5 = 16/40.
Red + blue = 15/40 + 16/40 = 31/40
Part that is neither red nor blue = 1 − 31/40 = 40/40 − 31/40 = 9/40

Q12. If 3/5 of a number is 27, then 2/3 of the same number is
(a) 10
(b) 20
(c) 30
(d) 40

Answer: (c) 30
First find the number. If 3/5 of the number is 27, then the number = 27 ÷ (3/5) = 27 × (5/3) = 45.
Now, 2/3 of 45 = (2/3) × 45 = 30

Related Study Material on Extramarks

• CBSE Important Questions Class 6 Maths Chapter 1
• CBSE Important Questions Class 6 Maths Chapter 2
• CBSE Important Questions Class 6 Maths Chapter 3
• CBSE Important Questions Class 6 Maths Chapter 4
• CBSE Important Questions Class 6 Maths Chapter 5
• CBSE Important Questions Class 6 Maths Chapter 6
• CBSE Important Questions Class 6 Maths Chapter 8
• CBSE Important Questions Class 6 Maths Chapter 9
• CBSE Important Questions Class 6 Maths Chapter 10