Question

Simplify the rational expressions:
(i) (3/2 × 1/6) + (5/3 × 7/2) – (13/8 × 4/3)
(ii) (1/4 × 2/7) – (5/14 × -2/3) + (3/7 × 9/2)
(iii) (13/9 × -15/2) + (7/3 × 8/5) + (3/5 × ½)
(iv) (3/11 × 5/6) – (9/12 × 4/3) + (5/13 × 6/15)​

Answer 1

Answer:

Step-by-step explanation:

FIRST QUESTION ANSWER

(3/2*1/6)=3 and 6 will cut 3 will become 1 and 6 will be 2 so =1/2*1/2=1/4

(5/3*7/2)=(5*7)/3*2=35/6

13/8*4/3=8 and 4 will cut and 4 becomes 1 and 8 becomes 2so=13/2*1/3=13/6

1. so by the answers of these equations we get 1/4,35/6,13/6
2. now add 1/4+35/6=LCM of 4 and 6=12
3. ans =73/12 now doing the subtraction we get
4. 73/12-13/6 LCM =12

ANS =47/12

SECOND QUESTION

1. 1/4*2/7=1/14
2. 5/14*-2/3=-5/21
3. 3/7*9/2=27/14

NOW SUBTRACT 1

1/14-(-5/21)

23/42 here we added because when 2 subtract signs are coming we should add

NOW ADD

23/42+27/14=LCM =42

ANS =104/42

ON SIMPLIFYING WE GET 52/21

YOU CAN DO THE REST BY FOLLOWING THE SAME METHOD

HOPE THIS HELPS YOU