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# Chapter 5: Operations on Rational Numbers Exercise – 5.2

### Question: 1

Subtract the first rational number from the second in each of the following: ### Solution:  ### Question: 2

Evaluate each of the following: ### Solution: LCM of 3 and 5 is 15  LCM of 3 and 7 is 21  ### Question: 3

The sum of the two numbers is 5/9. If one of the numbers is 1/3, find the other.

### Solution: LCM of 3 and 9 is 9 ### Question: 4

The sum of two numbers is -1/3. If one of the numbers is -12/3, find the other.

### Solution:

Let the required number be x The required number is 11/3

### Question: 5

The sum of two numbers is – 4/3. If one of the numbers is -5, find the other.

### Solution:

Let the required number be x The required number is 11/3

### Question: 6

The sum of two rational numbers is - 8. If one of the numbers is – (15/7), find the other.

### Solution:

Let the required number be x The required number is – (41/7)

### Question: 7

What should be added to – (7/8) so as to get 5/9?

### Solution:

Let the required number be x The required number is 103/72

### Question: 8

What number should be added to (-5)/11 so as to get 26/33?

### Solution:

Let the required number be x The required number is 41/33

### Question: 9

What number should be added to (-5)/7 to get (-2)/3?

### Solution:

Let the required number be x The required number is 1/21

### Question: 10

What number should be subtracted from -5/3 to get 5/6?

### Solution:

Let the required number be x The required number is 15/6

### Question: 11

What number should be subtracted from 3/7 to get 5/4?

### Solution:

Let the required number be x The required number is 23/28

### Question: 12 ### Solution:

Let the required number be x The required number is (-7)/5

### Question: 13 ### Solution:

Let the required number be x The required number is 59/30

### Question: 14 ### Solution:

Let the required number be x x = 1/4

The required number is ¼

### Question: 15

Simplify: ### Solution:    ### Question: 16

Fill in the blanks: ### Solution:    