This chapter explains topics like Fractions, which are important for the final exam. We know that a fraction represents a part of a whole, either a single object or a group of objects. The students can have a better knowledge about exercise-wise problems in this chapter by solving problems using RD Sharma Solutions for Class 6. To ace the exam, students can download the RD Sharma Solutions for Class 6 Maths Chapter 6 Fractions Objective Type Questions PDF provided here.
RD Sharma Solutions for Class 6 Maths Chapter 6: Fractions Objective Type Questions Download the PDF
Access answers to Maths RD Sharma Solutions for Class 6 Chapter 6: Fractions Objective Type Questions
Mark the correct alternative in each of the following:
1. Which of the following is a proper fraction?
(a)Â 4/3
(b)Â 3/4
(c)Â 13/4
(d)Â 21/5
Solution:
Option (b) is the correct answer.
We know that in a proper fraction, the numerator is less than the denominator.
2. Which of the following is an improper fraction?
(a)Â 1/2
(b)Â 3/7
(c)Â 7/3
(d)Â 3/15
Solution:
Option (c) is the correct answer.
We know that in an improper fraction, the numerator is more than the denominator.
3. Which of the following is a fraction equivalent of 2/3?
(a)Â 4/5
(b)Â 8/6
(c)Â 10/25
(d)Â 10/15
Solution:
Option (d) is the correct answer.
Consider
10/15=2/3
By cross multiplication
10 × 3 = 2 × 15
We get
30 = 30
4. A fraction equivalent to 3/5is
(a) 3+2/5+2
(b)Â 3-2/5-2
(c) 3×2/5×2
(d) None of these
Solution:
Option (c) is the correct answer.
We know that by dividing the numerator and denominator by 2, we obtain 3/5.
5. If 5/12 is equivalent of x/3, then x =
(a)Â 5/4
(b)Â 4/5
(c)Â 5/3
(d)Â 3/5
Solution:
Option (a) is the correct answer.
Consider 5/12 = x/3
By cross multiplication
5 × 3 = 12 × x
So we get
x = (5 × 3)/12 = (5 × 3)/ (4 × 3) = 5/4
6. Which of the following are like fractions?
(a)Â 3/5, 3/7, 3/11, 3/16
(b)Â 5/11, 7/11, 15/11, 2/11
(c)Â 2/3, 3/4,4/5, 6/7
(d) None of these
Solution:
Option (b) is the correct answer.
We know that like fractions are fractions with the same denominator.
7. If 11/4 = 77/x, then x =
(a) 28
(b)Â 77/28
(c) 44
(d) 308
Solution:
Option (a) is the correct answer.
11/4 = 77/x
By cross multiplication
11 × x = 77 × 4
x = (77 × 4)/ 11 = (7 × 11 × 4)/ 11
Dividing both the numerator & denominator by 11, we obtain 28.
8. 1/ (2 1/3) +1/ (1 3/4)Â is equal to
(a)Â 7/14
(b)Â 12/49
(c)Â 4 1/12
(d) None of these
Solution:
Option (d) is the correct answer.
9. If 1/3 + 1/2 + 1/x = 4, then x = ?
(a)Â 5/18
(b)Â 6/19
(c)Â 18/5
(d)Â 24/11
Solution:
Option (b) is the correct answer.
It is given that
1/3 + ½ + 1/x = 4
On further calculation
1/x = 4 – 1/3 – 1/2
By taking LCM of 3 and 2 as 6
1/x = 24/6 – 2/6 – 3/6
So we get
1/x = (24 – 2 – 3)/ 6 = 19/6
Hence, x = 6/19
10. If 1/2 + 1/x = 2, then x =
(a)Â 2/5
(b)Â 5/2
(c)Â 3/2
(d)Â 2/3
Solution:
Option (d) is the correct answer.
It is given that
½ + 1/x = 2
On further calculation
1/x = 2 – 1/2
By taking LCM as 2 we get
1/x = 4/2 – 1/2 = (4 – 1)/2 = 3/2
Hence, x = 2/3
11. Which of the following fractions is the smallest?
1/2,3/7,3/5,4/9
(a)Â 4/9
(b)Â 3/5
(c)Â 3/7
(d)Â 1/2
Solution:
Option (c) is the correct answer.
We know that the LCM of the numerator is 12
By converting each fraction to an equivalent fraction having 12 as the numerator
1/2 = 1/2 × 12/12 = 12/24
3/7 = 3/7 × 4/4 = 12/28
3/5 = 3/5 × 4/4 = 12/20
4/9 = 4/9 × 3/3 = 12/27
We know that if the numerator is the same the fraction having a larger denominator is the smallest.
Hence, 3/7 is the smallest fraction.
12. Which of the following fractions is the greatest of all?
7/8, 6/7, 4/5, 5/6
(a)Â 6/7
(b)Â 4/5
(c)Â 5/6
(d)Â 7/8
Solution:
Option (d) is the correct answer.
We know that the LCM of 8, 7, 6 and 5 is 840
By converting each fraction to an equivalent fraction having 840 as the denominator
7/8 = 7/8 × 105/105 = 735/840
6/7 = 6/7 × 120/120 = 720/840
4/5 = 4/5 × 168/168 = 672/840
5/6 = 5/6 × 140/140 = 700/840
We know that if the denominator is the same the fraction having a larger numerator is the greatest.
Hence, 7/8 is the greatest fraction.
13. What is the value of a+b/ a−b, If a/b=4?
(a)Â 3/5
(b)Â 5/3
(c)Â 4/5
(d)Â 5/4
Solution:
Option (b) is the correct answer.
It is given that a/b = 4
We can write it as a = 4b
By substituting the value of a in a+b/a-b
a+b/a-b = 4b+b/4b-b = 5b/3b
Dividing the numerator and denominator by b, the value is 5/3.
14. If a/b = 4/3, then the value of 6a+4b/ 6a-5b is
(a) −1
(b) 3
(c) 4
(d) 5
Solution:
Option (c) is the correct answer.
It is given that a/b = 4/3
We can write it as a = 4b/3
By substituting the value of a in 6a+4b/6a-5b
15. If 1/5 – 1/6 = 4/x, then x =
(a) −120
(b) −100
(c) 100
(d) 120
Solution:
Option (d) is the correct answer.
It is given that
1/5 – 1/6 = 4/x
LCM of 5 and 6 is 30
4/x = 6/30 – 5/30
On further calculation
4/x = 1/30
So we get
x = 4 (30) = 120
16. The fraction to be added to 6 7/15 to get 8 1/5 is equal to
(a)Â 11/15
(b)Â 1 1/15
(c)Â 44/3
(d)Â 3/44
Solution:
Option (b) is the correct answer.
17. If 45/60 is equivalent to 3/x, then x =
(a) 5
(b) 4
(c) 6
(d) 20
Solution:
Option (b) is the correct answer.
It is given that
45/60 = 3/x
By cross multiplication
45 × x = 3 × 60
It can be written as
x = (3 × 60)/45 = 180/45
Dividing the fraction by HCF
(180 ÷ 45)/(45÷45) = 4
18. A fraction equivalent to 45/105 is
(a)Â 6/14
(b)Â 4/7
(c)Â 5/7
(d)Â 7/5
Solution:
Option (a) is the correct answer.
The given fraction is 45/105
By dividing the numerator and denominator with the HCF
(45 ÷ 15)/(105÷15) = 3/7
On further calculation
3/7 = 3/7 × 2/2 = 6/14
19. 5/8 + 3/4 – 7/12Â is equal to
(a)Â 15/24
(b)Â 17/24
(c)Â 19/24
(d)Â 21/24
Solution:
Option (c) is the correct answer.
The given fraction is
5/8 + 3/4 – 7/12
We know that the LCM is 24
= (5 × 3)/ (8 × 3) + (3 × 6)/ (4 × 6) – (7 × 2)/ (12 × 2)
On further calculation
= 15/24 + 18/24 – 14/24
So we get
= 19/24
20. The correct fraction in the box □ is □ – 5/8=1/4
(a)Â 6/8
(b)Â 7/8
(c)Â 1/2
(d) None of these
Solution:
Option (b) is the correct answer.
The given equation is
□ – 5/8 = 1/4
It can be written as
â–¡ = 1/4 + 5/8
We know that the LCM is 8
â–¡ = 2/8 + 5/8 = 7/8
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