Page 17 - WCS - Electrical

1
5
+
Add
+
5 1
5
5 1
11

1
1
1
1
8
2
12
5
+
+ Add
1
1
+ + Add
+
Add
+

1
1 5
1 1
11
1 1
1
+
Add
+
82
5 2
12
12 8
2
1 12
8
2
1 8
++
+
1
1
+
1
+
+
8
2
12
1
+
1
1
Add
+
84
1
8
12
8
5
2
+
42
+
2
1
1
8
12
1 4 =
2 L.C.M
1 8 2,4
10
5
1,8 =
+
+
2
8 Add
+

12 +
4
2
8
+
+
+
+
+
=
+
2
4
8
1
1
1

10
10 3
3 5 2 1
12 1 1
5 1
2,4,8 = L.C.M =
L.C.M = L.C.M
12
8 2,4,8 ==
3
2,4,
1
8
1
12
2
8
24 1
24 5
2 1
4 1
24 1
7
1
1
2 +
8 4 + ++
1 + =
5+
+ = +
1 + +
+ ++
10
L.C.M =
3
= +
+
+
1
+ 3
+
+
12
= 10
Add
+
1
8
4
8
2
24
24
+
12 24 1282
+
5 24 128
+ 24
1 122
+ 24
24
2
81 411
2,4,8 = 24 + 11 1 1
1 2 ++
7
3 24
71
7 2 ++ 41
10
1
1
+
1
+
+
8 +
=
2
4
2
8
12
8
8
24
= =+
24
++
8
1 =
24
=
1 =
+
+
2 +
1
4 +
7
+
+
= + ++
+
+
12
24
12
2
24
1
1
3
10
8
2,4,8 =
8
1
1
4 +
2 +
1
1
1 8 8
= 8
+8
4 + 8 842
+ 8
8
1 4
1 8 2
1 2 4
2
4 8
2
2 +
12 +
+
24 =
24 +
+
+
=
3 +
10
12 +
25
1
8
8
4
2
+
+
=
=
24
24
12
2
1 24
= 8
1
8
2 +
7
8
2
1
1
1
=
4
8
10
2,4,8 =
L.C.M =
1
3

1
8
1
10 12 + 12
25
1
1 25
25 103 + +
12 103 +
12 +
8
2 1
3 +
4 3
3
8 +
=
+
+
24 =
+
24 +
24 +
= =
1
= =
=
1
10
5
12 +
25
1 =
=
5 −
=
3 +
=
−
−
3 8
8
1 42
1
1
10
3 +
12 +
25
3
1
24
1
24
1
2
8
12
1
=
3 1
24
3 2 ++
1 4
1
1
24
1 24
10 24 24
12 + 24
25 24
4
4
4
3 +
1
5 − −5
− 5 − 5
3 + 3 −
=3
=
= 5
1− 3 +−
=
=
3 +
3
5
−
+
=
+
=
24
24
24
=
1
=
=
1
10
24
1
5 −
25
=4
3 44
12 +
3 +
4 4
1 4 4
3 +
24
5 4
3 4
4
8
1 4 31 2
18
3 8
4
4 3
5 −
=
−
3
24
24
1
=
24 =
=

4
4
4
4
9
= 2
15
9
−
−
15
3 +
5 2 +
=
5 − −
=
4
4
4
4
3 − 1
1 1
1 1 3
3 3 31
3 31
3
)
9 24
or(17 24

3
from
17 24
subtract
1
9

−
4 4
12 +
4 3
25
4 4 5
3 +

10
4 =

−
−2
1 9
4 5 − −
15 9
9
2
15
4 3 + =
15
99
2 + 2
− −+
= 2 − =
15
1 −
9 15
15
− =
=
1
3
3
=
2 +
32
16 1=
1
3
32 =
1
16 =
9 subtract
17 from
)
sub
17 9 tract
9 )9
9 −
9
9 or(17or(177
− 1
15
4
4 4 4
9
2
−
4
or(17
2 + 4 44
1 4 44
subtract
from
=
15 )
4

−

3 3 3
9
= 4 3
4 1
4 3 1
3 15
2
=
15
9
1 4 9 − 9
=
2 +
)
9
from
24
subtract
24
9 24 16
16
16 32
−
32
16 16

32
32
32
4
4
4
9
= 3
15
15
9
5 or(17
3 +
9
− −
subtract
2 + =−
− 5 − )
−
= m
= 17
2 = 9−
4
4
4
4
1
3
1
3 9 −
3 3
9 − 3
3 39
16
9 − 9
32 )

9
or(17

from
17
9
subtract
3

32 9
−
3
4

4
4
4
9
32
4 4 2
9
15
4 16
4 −
=
4 32 2 =
4 4 16 −+ =
=−
3
−
= =
9
3
9 −
=
32 fraction gin
32
9 −
16 or(17
9
9
3
Subtract subtract
)
3
17
−
9

= 4
4 4
=
3
4 4
3
−
4 4
4
3

3
4 6
3 4 3
4 1
4 1
3
9 4 3
9 − 1
32
=
−
16
32
32
16
g
Subtractin
fractions
=
3
g Subtractin
=
= fractions g
4
4
Subtractin
fractions
4
2
9
15
15
9
− = =
=

= =
= 1 2 +
−
=
−
3 9
4
4
3
4
9
=
fractions
3 1
3 6
1 6
1 − 3
3
6
3 or(17

g 9 32
from

32

17
)
32
Subtractin −
4tions
4 2
4
Subtractin
4
2
frac
4 =
4 = =
1 =
4 4 − =
1
==
3
=
1
1 =
6
=
=
32
=
fractions
Subtractin
1 8 subtract 1 = 9 g 3 32 5 15 1 5 3 = 16 s = from from 1012 125 ++ 24 + 2 = 24 24 24 3 + 1= 12 16 = 24 12 17 32 16 = or(17 Add 24 1 5 fro g 1 1 = + 4 L.C.M = 11 + − 4 3 24 L.C.M = 8 1 = = + = 3 4 + 7 8 88 = − 8 7 3 8 1 3− 2,4,8 = 4 8 8 − 1 1 − = 3 5 L.C.M = 3 − = 2,4,8 = 3 + − 1 3 − = 3 7
32
= 16
16
3

3
1
6
3
1
32 4
4 2
= 2
4 4
=
=
3 2 4
4
2 3
=
fractions

we get 8 + Subtrac 8 gtin 3 3 32 3 3 = 3 = 6 2 9 1 − 1 2 93 = − 4 2 2 = = = 1
3
= =
=
32

8 =
= ge
we get 8 +we w 88 t + 8 get e 32 = + 32 3 8 32 8 + 3 = 8 3 3 4 3 2 4 = 6 2 4 = 3 = 4 1 1 4 2 2
WORKSHOP CALCULATION & SCIENCE - CITS
we
32
get 32
3 32
Subtra
3
we 3 get 8 + 7 32ctin = 5 32 fractions g 8 9 3 = 3 32 32 32 we get 8 + 32 = 8 32 6 4 3 2 1 1 2
=
=
=
−

5 7
solve 3 3 + 6 we 32 4 get 3 16 8 − + 32 9 = 8 9 5 9 4 2 2
7 3
7
5
8
32
4
4 −

− 3
solve 3 Solution 46+ solvesolve +3 − 6 32 + −6 3 − 32 4 3 − 7 5 9
3
solve 168
4 3 we 7 16 84 8 et + 4 9 16 3 32 + 6 32 − 4 − solve 3 3 + 6 7 − 4 5 − 9
5 32 8=
8 g
4
32
8
16
32
+
solve Step 1: Add or subtract whole numbers = 3 + 6 - 4 = 5 8 16 32
−
−
6
4 32
3

9
7
3
4
5
3 4 7 solve 8 3 9 + 16 6 − −
5
32 4
+
32
3 7 − 16 − 4 − − + 8 5 4 − − 5 16 3 − 9 9 7 5 9
9 5
9 7 7 73
5 3 3
32
8
4
−
+solv
−+ 6+
− 3 e
Step 2: Add fractions =
5 32 84
32 32 326
4 3 8 7 164 4 9 16 168 8 1 + − − 3 + 7 − 5 − 9
+ − 3 − 7 5 9 4 8 16 32 4 8 16 32
24 4 2+ 8 18 − 16 90 − + 32 − −
8
4
16
28 −
9
−
24 + 32 10 − 9 5 2824 + − − 9 10 −− 32 24 + 28 − 10 − 9
L.C.M of 4,8,16,32 is 32 9102824 + 73
+
−
32
32
24 + 32 10 − 9 16 32 32 24 + 28 − 10 − 9
28 − 84
19
52 − 32 24 + 28 − 10 − 9 32
=
32

52 − 52 − 52 − 9 19
19
3224
28 −
19 +
10 −
= = = 52 − 19 52 − 19
32
32
52 − 19 32 32 = =
=
1 52 −
33 32 = 19 32 32
=

33 = 1 1 33 32 33 1 1
32
32 52 − =
=
= = 1 = 19 1 = 1 33 1 33 1
=
32
33 3232 1 32 32 32 = 32 = 1 32 = = 1
32
1
=
=
1
33
Step 3: Adding again with the whole number 32 32
3
3
32
32
=
1
=
6
=
3 3

5 + 1 32 33 32 1 32 3 3 3
3
32
we get
5 + 1 = = 6 15 + 5 + = 1 6 = 6 5 + 1 3 = 6 3 3 3
1
=

3
32
3 32
4
4
3 Examples ×= = 32 3 32 3 32 32 32 32 32 32 5 + 1 = 6
1
5 +
6

43
32 3 34 3
3 4
3 by 4 32 3 3 5 + 41 =3 14 = 4 6 ×= 3 =× 3 = 4 3 3 4 3 32 32
8
7
8
7
× by
= = by
by
=
Common fractions

8 3 7 4 8 8 3 7 4 14 87 3 8 32 6 3 787 3 32 14 7 by 14 = × = 3 by 4 = 3 × 4 = 3
5 +
=
1
= 5
2
by 3

• Multiply 3 ×5 = 3 32 4 8 3 7 8 7 14 8 7 8 7 14
8 = 32 4
8 × 3 7 × 5 2 by 5 32 14 × 53 5 = 5
7 =
5
2
4
8
3
16
= ×7
2
×
3
a
3 2 4 × 3 8 5 1643 4 = 5 843 × 8 × 4 =7 × = 16 8 3 = 14 16 × 3 × 5 = 5 b 2 × 3 × 5 = 5
×
3 8 by
5 5 × 8 × 5 2 7 = 32 8 53 7 5 14 3 4 8 16 3 4 8 16
3
4 =
=
×
×

5 5
5
5 ÷ 32 = 2 8 × 32 5 5 16 2 5 5 = 32 5 5 2 =× 32 5 2 5 32
16
16
5
× ÷ 3
= = 4 ÷
=
2 × 168 =
÷
5
3
16
5 16 ×16
5 32
16 • Division 5 5 32 32 16 =× 32 5 5 16 ÷ 5 = × = 2 5 ÷ 5 = 5 × 32 = 2
16
= 3
÷ 5 × 4 5 8 = 5 216 32 32 16 5 16 32 16 5
16 a 32 16 ÷ 5 = × = 2
2 1 14 1 22 36 5 14 162 5 7 32 5 49 16
5
4
7 22 × 14
14 1
7
49 142
= 2
16
7
2 ÷ 3 7 = 14 2 ÷ 22 1 ÷ 2 = 14 = 3 × 22 = 14 2 = 1 16 49 49 16
1
33
33
3
b 3
7
÷4
÷ 3 ÷
4 ÷ 3 = 4 16 = = 32 3 × ÷ 16 = 2= = 5 ÷ 1 1= × = 14 = × 22 1= = 14 1= 7 1 49 14 16 14 7 49 16
2
22
33
4 7 3
÷
÷ 33
= 22
2 73 1 3 3 14 7 7 3 22 3 3 7 14 22 3 = 3 3 7 49 33 223 3 1 16 7 = 33 × 33 = = = 1 33 = × = = 1
7 33
4
3
÷
÷
3
22
33
=
7 =

22
14
1 1 5 4 3 ÷ 3 • Addition 12 3 3÷ ÷ 7 = = 3 ÷ × 22 = 14 33 × 7 33 49 16 3 7 3 7 3 22 33 33
7 4
Add + + = = 1
2 1 8 1 12 5 2 3 1 1 7 1 14 1 3 22 7 14 3 7 22 49 33 16 33
Add + + 4 ÷ 3 + = + ÷ = × = = 1
2 8 12 3 2 1 7 + 4 1 + 3 8 1 7 3 22 33 33
1 1 5 12 3 10 L.C.M = 842 2,4,8 = 8
+ + = + +
2 1 8 1 12 5 24 12 24 3 24 10 1 L.C.M 1 2,4,8 2 + 8 1 7
4 + =
1 =
+ + = + + + + = =
2 8 12 24 24 24 2 1 4 1 8 1 4 + 82 + 1 8 7
+ + = =
12 + 3 + 10 25 1 2 4 8 8 8
= = = 1 • Subtraction
12 + 24 103 + 24 25 24 1 1 3 1 3
= = = 1 5 − 3 = 5 − 3 + −
24 24 24 5 4 1 − 3 4 3 = 5 − 3 + 4 1 − 4 3
3
4
15 9 9 15 = 2 + 1 − 4 3 = 2 1 − 4 4
subtract 9 from 17 or(17 − 9 ) 4 1 4 3 4 1 4 3
32 15 16 9 16 9 32 15 = 2 + − = 2 −
subtract 9 from 17 or(17 − 9 ) 9 3 4 9 − 3 4 4
4
32 16 3 16 32 = 4 9 − 4 3 = 9 −
4 3
Subtractin g fractions = = − =
32 3 6 4 3 4 1 4
Subtractin g fractions = = = = 1
3 3 32 = 4 6 = 2 3 = 1 2 1
we get 8 + = 8 4 2 2
32 3 32 3
we get 8 + = 8
3 7 32 5 32 9
solve 3 + 6 − 4 − 4
4 3 8 7 16 5 32 9
solve 3 + 6 − 4 −
4 8 16 32 CITS : WCS - Electrical - Exercise 1
3 7 5 9
+ − −
4 3 8 7 16 5 32 9
+ − −
4 8 16 32
24 + 28 − 10 − 9
32
24 + 28 − 10 − 9
32
52 − 19
=
52 32 19−
=
32
33 1
= = 1
32 33 32 1
= = 1
32 32
3 3
5 + 1 = 6
32 3 32 3
5 + 1 = 6
3 4 32 3 4 32 3
by = × =
8 3 7 4 8 3 7 4 14 3
by = × =
8 2 7 3 5 8 7 5 14
× × =
3 2 4 3 8 5 16 5
× × =
3 4 8 16
5 5 5 32
÷ = × = 2
16 5 32 5 16 5 5 32
÷ = × = 2
16 32 16 5
2 1 14 22 14 7 49 16
4 ÷ 3 = ÷ = × = = 1
3 2 7 1 3 14 7 22 3 14 22 7 33 49 33 16
4 ÷ 3 = ÷ = × = = 1
3 7 3 7 3 22 33 33