Question

Find the sum of the following rational numbers: (01) 3/5,-7/5 (02) 7/9,5/9
(03) 3/5, 7/3 (04)9/5,2/3(05)18/7,7/6​

Answer 1

Answer:

Answer is attached here

Answer 2

Given :

• 3/5,-7/5
• 7/9,5/9
• 3/5, 7/3
• 9/5,2/3
• 18/7,7/6​

To find :

• the sum of the rational numbers

Solution :

⇒ Here, the sum is meant by addition.

(01) 3/5,-7/5 :

= 3/5 + -7/5

= 3 + -7/5

= -4/5

• Therefore, the sum is -4/5.

(02) 7/9,5/9 :

= 7/9 + 5/9

= 7 + 5/9

= 12/9

= 4/3

• Therefore, the sum is 4/3.

(03) 3/5, 7/3 :

⇒ LCM of 5 and 3 = 15

= 3 × 3/5 × 3

= 9/15

= 7 × 5/3 × 5

= 35/15

Sum = 9/15 + 35/15

        = 9 + 35/15

        = 44/15

• Therefore, the sum is 44/15.

(04) 9/5,2/3 :

⇒ LCM of 5 and 3 = 15

= 9 × 3/5 × 3

= 27/15

= 2 × 5/3 × 5

= 10/15

Sum = 27/15 + 10/15

        = 27 + 10/15

        = 37/15

• Therefore, the sum is 37/15.

(05) 18/7, 7/6​ :

⇒ LCM of 7 and 6 = 42

= 18 × 6/7 × 6

= 108/42

= 7 × 7/6 × 7

= 49/42

Sum = 108/42 + 49/42

        = 108 + 49/42

        = 157/42

• Therefore, the sum is 157/42.