NCERT 6 Maths

NCERT Solutions for Class 6 Maths Chapter 7 Fractions InText Questions

NCERT Solutions for Class 6 Maths Chapter 7 Fractions InText Questions

These NCERT Solutions for Class 7 Maths Chapter 7 Fractions InText Questions Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 7 Maths Chapter 7 Fractions InText Questions

NCERT In-text Question Page No. 137

Question 1.

Question 2.


Answer:
We draw a number line. Divide the length between 0 and 1 into 10 equal parts.

Question 3.
Can you show any other fraction between 0 and 1? Write five more fractions that you can show and depict them on the number line.
Answer:
Step-by-step explanation:
To find the fraction between 0 and 1.
We should always remember one thing that “Denominator should be large than the numerator always”.
Thus, the fraction between 0 and 1 is:

Question 4.
How many fractions lie between 0 and 1?
Think, discuss and write your answer?
Answer:
An infinite number of fractions lie between 0 and 1.

NCERT In-text Question Page No. 138

Question 1.
Give a proper fraction :
(a) whose numerator is 5 and denominator is 7.
(b) whose denominator is 9 and numerator is 5.
(c) whose numerator and denominator add up to 10. How many fractions of this kind can you make?
(d) whose denominator is 4 more than the numerator.
Answer:
A proper fraction whose:

Question 2.
A fraction is given. How will you decide, by just looking at it, whether, the fraction is
(a) less than 1? (b) equal to 1?
Answer:
(a) If the numerator is smaller than the denominator, then the fraction will be less than 1.
(b) If the numerator is equal to the denominator, then the fraction will be equal to 1

Question 3.
Fill up using one of these : “>’, ‘<’ or ‘=’
NCERT Solutions for Class 6 Maths Chapter 7 Fractions InText Questions 3
NCERT Solutions for Class 6 Maths Chapter 7 Fractions InText Questions 4
Answer:

NCERT In-text Question Page No. 142

Question 1.

Question 2.
Give example of four equivalent fractions.
Answer:
Following pairs of fractions are equivalent.

Question 3.
Identify the fractions in each. Are there fractions equivalent?

Answer:

NCERT In-text Question Page No. 143

Question 1.
Find five equivalent fractions of each of the following:

Answer:

NCERT Solutions for Class 6 Maths Chapter 7 Fractions InText Questions 8

NCERT In-text Question Page No. 146

Question 1.
Write the simplest form of:

Answer:
(i) Factors of 15 are: 1, 3, 5 and 15
Factors of 75 are: 1, 3, 5, 15 25 and 75
Common factors are: 1, 3, 5 and 15
∴ HCF of 15 and 75 = 15

(ii) Factors of 16 are: 1, 2, 4, 6, 8 and 16 Factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18 24, 36 and 72
∴ Common factors are: 1, 2, 4, 6 and 8

(iii) Factors of 17 are: 1 and 17
Factors of 151 are: 1, 3 and 17
Common factors is 17
∴ HCF of 17 and 51 – 17

(iv) Factors of 42 are: 1, 2, 3, 6, 7, 14, 21 and 42
Factors of 28 are: 1, 2, 4, 7, 14 and 28 Common factors are: 1, 2, 7 and 14
∴ HCF of 42 and 28 = 14

(v) Factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80
Factors of 24 are: 1, 2, 3, 4, 6, 8, 12 and 24
Common factors are: 1, 2, 4 and 8

Question 2.

NCERT In-text Question Page No. 148

Question 1.
You get one-fifth of a bottle of juice and your sister gets one third of the same size of a bottle of juice. Who gets more?
Answer:

NCERT In-text Question Page No. 149

Question 2.
Which is the larger fraction?

Question 3.
Write these in ascending and also in descending order:

Answer: We can write the like fractions in ascending or in descending order according to the order of their numerators.

NCERT In-text Question Page No. 151

Question 1.
Arrange the following in ascending and descending order:

(c) Write 3 more similar examples and arrange them in ascending and descending order.
Answer:
We know that in ‘unlike’ fractions having same numerator, the greater the value of the denominator, the smaller the value of the fractional number.
(a) ∵ 50, 23, 17, 12, 9, 7 and 5 are in descending order.
∴ Fractions in ascending order are:

(c) Three more examples of unlike fractions with same numerator are:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions InText Questions 10
Arrange the above in ascending and descending order by yourself
Answer:

NCERT Solutions for Class 6 Maths Chapter 7 Fractions InText Questions 12

NCERT In-text Question Page No. 155

Question 1.
My mother divided an apple into 4 equal parts. She gave me two parts and my brother one part. How much apple did she give to both of us together?
Answer:

Question 2.
Mother asked Neelu and her brother to pick stones from the wheat. Neelu picked one fourth of the total stones in it and her brother also picked up one fourth of the stones. What fraction of the stones did both pick up together?
Answer:

Question 3.
Sohan was putting covers on his note books. He put one fourth of the covers on Monday. He put another one fourth on Tuesday and the remaining on Wednesday. What fraction of the covers did he put on Wednesday?
Answer:
Sohan put one-fourth of the covers on Monday, i.e., 1/4 covers.
He put one-fourth on Tuesday, i.e., 1/4 covers and the remaining on Wednesday.
Now, covers put on Monday and Tuesday

NCERT In-text Question Page No. 156

Question 4.
Add with the help of a diagram.

Method II: We can also represent the above sum in the following manner:

Question 5.

Using paper folding (the activity): Do it yourself.

Question 6.
Make 5 more examples of problems given in 1 and 2 above. Solve them with your friends.
Answer:
Do it yourself.

NCERT In-text Question Page No. 157

Question 1.

Question 2.
Mother made a gud patti in a round shape. She divided it into 5 parts. Seema ate one piece from it. If I eat another piece then how much would be left?
Answer:

Question 3.
My elder sister divided the watermelon into 16 parts. I ate 7 out them. My friend ate 4. How much did we eat between us? How much more of the watermelon did I eat than my friend? What portion of the watermelon remained?
Answer:

Question 4.
Make five problems of this type and solve them with your friends.
Answer:
Do it yourself.

NCERT In-text Question Page No. 159

Question 1.

Question 2.

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