(-8/9×-6/7)‐(1/10×‐3/5)+(3/5×‐2/7)‐(8/9×‐5/11) please help meplease help me koi meri help karo plz plz plz About the author Amelia
(i) 5 36 + 6 42 At first, we will calculate the LCM of 36 and 42. The prime factorisation is 36 and 42 is, 36 = 2 × 2 × 3 × 3 42 = 2 × 3 × 7 Now, LCM of 36 and 42 = 2 × 2 × 3 × 3 × 7 = 252 5 36 + 6 42 = 5×7 36×7 + 6×6 42×6 = 35 252 + 36 252 = 35+36 252 = 71 252 (ii) 1 2 3 +2 4 5 = 1×3+2 3 + 2×5+4 5 = 5 3 + 14 5 Now, LCM of 3 and 5 is 15. 5 3 + 14 5 = 5×5 3×5 + 14×3 5×3 = 25 15 + 42 15 = 67 15 =4 7 15 (iii) 11 17 + 13 19 Now, LCM of 17 and 19 is 323. 11 17 + 13 19 = 11×19 17×19 + 13×17 19×17 = 209 323 + 221 323 = 430 323 (iv) 2 3 11 +1 3 77 = 2×11+3 11 + 1×77+3 77 = 25 11 + 80 77 Now, LCM of 11 and 77 is 77. 25 11 + 80 77 = 25×7 11×7 + 80×1 77×1 = 175 77 + 80 77 = 255 77 =3 24 77 Reply
Answer:
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(i)
5
36
+
6
42
At first, we will calculate the LCM of 36 and 42. The prime factorisation is 36 and 42 is,
36 = 2 × 2 × 3 × 3
42 = 2 × 3 × 7
Now, LCM of 36 and 42 = 2 × 2 × 3 × 3 × 7 = 252
5
36
+
6
42
=
5×7
36×7
+
6×6
42×6
=
35
252
+
36
252
=
35+36
252
=
71
252
(ii) 1
2
3
+2
4
5
=
1×3+2
3
+
2×5+4
5
=
5
3
+
14
5
Now, LCM of 3 and 5 is 15.
5
3
+
14
5
=
5×5
3×5
+
14×3
5×3
=
25
15
+
42
15
=
67
15
=4
7
15
(iii)
11
17
+
13
19
Now, LCM of 17 and 19 is 323.
11
17
+
13
19
=
11×19
17×19
+
13×17
19×17
=
209
323
+
221
323
=
430
323
(iv) 2
3
11
+1
3
77
=
2×11+3
11
+
1×77+3
77
=
25
11
+
80
77
Now, LCM of 11 and 77 is 77.
25
11
+
80
77
=
25×7
11×7
+
80×1
77×1
=
175
77
+
80
77
=
255
77
=3
24
77