Add
Use LCM to solve
See the Picture and solve.
Answers
Answer: I went down the columns. I simplified the answers put them into mixed numbers where I could.
1) 3/6+2/6 = 5/6
2) 6/5 = 1 1/5
3) 6/9+5/9 = 11/9 = 1 2/9
4) 12/15+10/15 = 22/15 = 1 7/15
5) 7/10 + 4/10 = 11/10 = 1 1/10
6) 2/3+1/7 = 17/21
7) 4/9 + 2/7 = 46/63
8) 3/10+7/15 = 23/30
9) 5/9+1/3 = 8/9
10) 2/5+1/6 = 17/30
11)4/5+2/3 = 22/15 = 1 7/15
12) 5/6+1/3 = 7/6 = 1 1/6
13) 4/3+1/2 = 11/6 = 1 5/6
14) 2/5+3/4 = 23/20 = 1 3/20
15) 1/2 +4/3 = 11/6 = 1 5/6
16) 5/6 +2/5 = 37/30 = 1 7/30
17) 8/9+5/4 = 77/36 = 2 5/36
18) 7/8+1/4 = 9/8 = 1 1/8
19) 1/2+1/3 = 5/6
20) 6/10+3/5 = 6/5 = 1 1/5
21) 1/6+1/3 = 3/6 = 1/2
22) 6/9+4/5 = 22/15 = 1 7/15
23) 1/2 +4/3 = 11/6 = 1 5/6
24) 8/12+6/10 = 19/15 = 1 4/15
25) 5/6+4/3 = 13/6 = 2 1/6
Step-by-step explanation:
Solutions :-
1) (3/6)+(2/6)
LCM = 6
= (3+2)/6
= 5/6
(3/6)+(2/6) = 5/6
2)(5/10)+(7/10)
LCM = 10
= (5+7)/10
= 12/10
= 6/5
(5/10)+(7/10) = 6/5
3)(6/9)+(5/9)
LCM = 9
= (6+5)/9
= 11/9
(6/9)+(5/9) = 11/9
4)(12/15)+(10/15)
LCM = 15
= (12+10)/15
= 22/15
(12/15)+(10/15) = 22/15
5)(7/10)+(4/10)
LCM = 10
= (7+4)/10
= 11/10
(7/10)+(4/10) = 11/10
6)(2/3)+(1/7)
LCM of 3 and 7 = 21
= [(2×7)+(1×3)]/21
= (14+3)/21
= 17/21
(2/3)+(1/7) = 17/21
7)(4/9)+(2/7)
LCM of 9 and 7 = 63
=[(4×7)+(2×9)]/63
= (28+18)/63
= 46/63
(4/9)+(2/7) = 46/63
8) (3/10)+(7/15)
LCM of 10 and 15 = 30
=[(3×3)+(7×2)]/30
= (9+14)/30
= 23/30
(3/10)+(7/15) = 23/30
9)(5/7)+(1/3)
LCM of 7 and 3 = 21
= [ (5×3)+(1×7)]/21
= (15+7)/21
= 22/21
(5/7)+(1/3) = 22/21
10) (2/5)+(1/6)
LCM of 5 and 6 = 30
= [ ( 2×6)+(1×5)]/30
= (12+5)/30
= 17/30
(2/5)+(1/6) = 17/30
11)(4/5)+(2/3)
LCM of 5 and 3 = 15
= [ (4×3)+(2×5)]/15
= (12+10)/15
= 22/15
(4/5)+(2/3) = 22/15
12) (5/6)+(1/3)
LCM of 6 and 3 = 6
= [ (5×1)+(1×2)]/6
= (5+2)/6
= 7/6
(5/6)+(1/3) = 7/6
13) (4/3)-(1/2)
LCM of 3 and 2 = 6
= [ (4×2)-(1×3)]/6
= (8-3)/6
= 5/6
(4/3)-(1/2) = 5/6
14)(2/5)+(3/4)
LCM of 5 and 4 = 20
= [ (2×4)+(3×5)]/20
= (8+15)/20
= 23/20
(2/5)+(3/4) = 23/20
15)(1/2)+(4/3)
LCM of 2 and 3 = 6
= [ (1×3)+(4×2)]/6
= (3+8)/6
= 11/6
(1/2)+(4/3) = 11/6
16)(5/6)+(2/5)
LCM of 6 and 5 = 30
= [ (5×5)+(2×6)]/30
= (25+12)/30
= 37/30
(5/6)+(2/5) = 37/30
17) (8/9)+(5/4)
LCM of 9 and 4 = 36
= [ (8×4)+(5×9)]/36
= (32+45)/36
= 77/36
(8/9)+(5/4) = 77/36
18) (7/8)+(1/4)
LCM of 8 and 4 = 8
= [ (7×1)+(1×2)]/8
= (7+2)/8
= 9/8
(7/8)+(1/4) = 9/8
19)(1/2)+(1/3)
LCM of 2 and 3 = 6
= [(1×3)+(1×2)]/6
= (3+2)/6
= 5/6
(1/2)+(1/3) = 5/6
20)(6/10)+(3/5)
= (3/5)+(3/5)
LCM = 5
= (3+3)/5
= 6/5
(6/10)+(3/5) = 6/5
21)(1/6)+(1/3)
LCM of 6 and 3 = 6
= [ (1×1)+(1×2)]/6
= (1+2)/6
= 3/6
= 1/2
(1/6)+(1/3) = 1/2
22)(6/9)+(4/5)
LCM of 9 and 5 = 45
= [ (6×5)+(4×9)]/45
= (30+36)/45
= 66/45
= 22/15
(6/9)+(4/5) = 22/15
23)(1/2)+(4/5)
LCM of 2 and 5 = 10
= [ (1×5)+(4×2)]/10
= (5+8)/10
= 13/10
(1/2)+(4/5) = 13/10
24)(8/12)+(6/10)
= (2/3)+(3/5)
LCM of 3 and 5 = 15
= [(2×5)+(3×3)]/15
= (10+9)/15
= 19/15
(8/12)+(6/10) = 19/15
25)(5/6)+(4/3)
LCM of 6 and 3 = 6
= [ (5×1)+(4×2)]/6
= (5+8)/6
= 13/6
(5/6)+(4/3) = 13/6