This chapter explains topics like fractions which are important from the exam point of view. We know that a fraction represents a part of a whole either single object or a group of objects. The students can have a better knowledge about the exercise wise problems in this chapter by solving problems using RD Sharma Solutions for Class 6 as a study material. To ace the exam, students can download the RD Sharma Solutions for Class 6 Maths Chapter 6 Fractions Objective Type Questions PDF provided here which acts as a major reference guide.

## RD Sharma Solutions for Class 6 Chapter 6: Fractions Objective Type Questions Download PDF

### Access 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:**

The option (b) is 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:**

The option (c) is 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 ofÂ 2/3?(a)Â 4/5(b)Â 8/6(c)Â 10/25(d)Â 10/15**

**Solution:**

The option (d) is correct answer.

Consider

10/15=2/3

By cross multiplication

10 Ã— 3 = 2 Ã— 15

We get

30 = 30

**4. A fraction equivalent toÂ 3/5is(a) 3+2/5+2(b)Â 3-2/5-2(c)Â 3Ã—2/5Ã—2(d) None of these**

**Solution:**

The option (c) is correct answer.

We know that by dividing the numerator and denominator by 2, we obtainÂ 3/5.

**5. IfÂ 5/12Â is equivalent ofÂ x/3, thenÂ xÂ =(a)Â 5/4(b)Â 4/5(c)Â 5/3(d)Â 3/5**

**Solution:**

The option (a) is correct answer.

Consider 5/12 = x/3Â

By cross multiplication

5 Ã— 3 = 12 Ã— xÂ

So we get

x = (5 Ã— 3)/12 = (5 Ã— 3)/ (4 Ã— 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:**

The option (b) is correct answer.

We know that like fractions are the fractions with the same denominator.

**7. IfÂ 11/4 = 77/x, thenÂ xÂ =(a) 28(b)Â 77/28(c) 44(d) 308**

**Solution:**

The option (a) is correct answer.

11/4 = 77/x

By cross multiplication

11 Ã— x = 77 Ã— 4Â

x = (77 Ã— 4)/ 11 = (7 Ã— 11 Ã— 4)/ 11

DividingÂ bothÂ theÂ numeratorÂ &Â denominatorÂ byÂ 11,Â weÂ obtainÂ 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:**

The option (d) is correct answer.

**9. IfÂ 1/3 + 1/2 + 1/x = 4, thenÂ xÂ = ?(a)Â 5/18(b)Â 6/19(c)Â 18/5(d)Â 24/11**

**Solution:**

The option (b) is correct answer.

It is given that

1/3 + Â½ + 1/x = 4

On further calculation

1/x = 4 â€“ 1/3 â€“ 1/2

By taking LCM of 3 and 2 as 6

1/x = 24/6 â€“ 2/6 â€“ 3/6

So we get

1/x = (24 â€“ 2 â€“ 3)/ 6 = 19/6

Hence, x = 6/19

**10. IfÂ 1/2 + 1/x = 2, thenÂ xÂ =(a)Â 2/5(b)Â 5/2(c)Â 3/2(d)Â 2/3**

**Solution:**

The option (d) is correct answer.

It is given that

Â½ + 1/x = 2

On further calculation

1/x = 2 â€“ 1/2

By taking LCM as 2 we get

1/x = 4/2 â€“ 1/2 = (4 â€“ 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:**

The option (c) is correct answer.

We know that the LCM of numerator is 12

By converting each fraction to an equivalent fraction having 12 as numerator

1/2 = 1/2 Ã— 12/12 = 12/24

3/7 = 3/7 Ã— 4/4 = 12/28

3/5 = 3/5 Ã— 4/4 = 12/20

4/9 = 4/9 Ã— 3/3 = 12/27

We know that if the numerator is same the fraction having 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:**

The option (d) is 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 denominator

7/8 = 7/8 Ã— 105/105 = 735/840

6/7 = 6/7 Ã— 120/120 = 720/840

4/5 = 4/5 Ã— 168/168 = 672/840

5/6 = 5/6 Ã— 140/140 = 700/840

We know that if the denominator is same the fraction having larger numerator is the greatest.

Hence, 7/8 is the greatest fraction.

**13. What is the value ofÂ a+b/ aâˆ’b,Â IfÂ a/b=4?(a)Â 3/5(b)Â 5/3(c)Â 4/5(d)Â 5/4**

**Solution:**

The option (b) is 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 numerator and denominator by b, the value is 5/3.

**14. IfÂ a/b = 4/3,Â then the value ofÂ 6a+4b/ 6a-5bÂ is(a) âˆ’1(b) 3(c) 4(d) 5**

**Solution:**

The option (c) is 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. IfÂ 1/5 – 1/6 = 4/x, thenÂ xÂ =(a) âˆ’120(b) âˆ’100(c) 100(d) 120**

**Solution:**

The option (d) is correct answer.

It is given that

1/5 â€“ 1/6 = 4/x

LCM of 5 and 6 is 30

4/x = 6/30 â€“ 5/30

On further calculation

4/x = 1/30

So we get

x = 4 (30) = 120

**16. The fraction to be added toÂ 6 7/15Â to getÂ 8 1/5Â is equal to(a)Â 11/15(b)Â 1 1/15(c)Â 44/3(d)Â 3/44**

**Solution:**

The option (b) is correct answer.

**17. IfÂ 45/60Â is equivalent toÂ 3/x, thenÂ xÂ =(a) 5(b) 4(c) 6(d) 20**

**Solution:**

The option (b) is correct answer.

It is given that

45/60 = 3/x

By cross multiplication

45 Ã— x = 3 Ã— 60

It can be written as

x = (3 Ã— 60)/45 = 180/45

Dividing the fraction by HCF

(180 Ã· 45)/(45Ã·45) = 4

**18. A fraction equivalent toÂ 45/105Â is(a)Â 6/14(b)Â 4/7(c)Â 5/7(d)Â 7/5**

**Solution:**

The option (a) is correct answer.

The given fraction is 45/105

By dividing the numerator and denominator with the HCF

(45 Ã· 15)/(105Ã·15) = 3/7

On further calculation

3/7 = 3/7 Ã— 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:**

The option (c) is correct answer.

The given fraction is

5/8 + 3/4 â€“ 7/12

We know that the LCM is 24

= (5 Ã— 3)/ (8 Ã— 3) + (3 Ã— 6)/ (4 Ã— 6) â€“ (7 Ã— 2)/ (12 Ã— 2)

On further calculation

= 15/24 + 18/24 â€“ 14/24

So we get

= 19/24

**20. The correct fraction in the boxÂ â–¡Â isÂ â–¡ â€“ 5/8=1/4(a)Â 6/8(b)Â 7/8(c)Â 1/2(d) None of these**

**Solution:**

The option (b) is correct answer.

The given equation is

â–¡ â€“ 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