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Shop What's New Sign inSolution Manual for Practical Problems in Mathematics for Electricians, 9th Edition
Preview Extract
Instructorโs Guide
21. a. (16 + 6) ร 25 = 550 single-gang boxes
b. 3 ร 25 = 75 two-gang boxes
c. 16 ร 25 = 400 outlets
d. (6 + 2 + 2) ร 25 = 250 single-pole switches
e. 2 ร 25 = 50 three-way switches
SECTION 2
UNIT 6
COMMON FRACTIONS
Addition of Common Fractions
1. a. 10โ32 + 12โ32 + 24โ32 + 7โ32 = 121โ32
b. 2โ32 + 24โ32 + 28โ32 + 31โ32 = 221โ32
c. 36โ48 + 32โ48 + 30โ48 + 15โ48 = 217โ48
d. 14โ20 + 16โ20 + 15โ20 + 6โ20 = 211โ20
3
2. โ48 hp + 16โ48 hp + 16โ48 hp + 8โ48 hp = 43โ48 hp
3. 4โ8 hp + 4โ8 hp + 6โ8 hp + 1โ8 hp = 17โ8 hp
4. 15โ60 ฮฉ + 50โ60 ฮฉ + 40โ60 ฮฉ + 20โ60 ฮฉ + 50โ60 ฮฉ + 36โ60 ฮฉ + 24โ60 ฮฉ +
12
โ60 ฮฉ = 47โ60 ฮฉ
1
5. โ64 in + 2โ64 in + 1โ64 in + 8โ64 in = 3โ16 in
6. 62โ64 in + 1โ64 in + 1โ64 in = 1 in
7. 52โ64 in + 5โ64 in + 6โ64 in + 8โ64 in = 17โ64 in.
8. 1โ64 in + 8โ64 in + 8โ64 + 4โ64 in + 48โ64 in + 56โ64 in = 161โ64 in
9. 1โ64 in + 1โ64 + 1โ64 in + 1โ64 in + 4โ64 in + 4โ64 in + 8โ64 in + 8โ64 in = 7โ16 in
10. 26โ8 in +5โ8 in + 5โ8 in = 4 in
11. 14โ16 in + 14โ16 in + 312โ16 + 13โ16 in = 65โ16 in
12. 96โ8 in + 21โ8 + 32โ8 in = 151โ8 in
13. 4โ64 in + 32โ64 in + 8โ64 in + 6โ64 in + 3โ64 in + 12โ64 in = 11โ64 in
14. 4 cuts for 5 pieces = 4โ16 in
4
โ16 in + 714โ16 in + 34โ16 in + 68โ16 in + 122โ16 in + 243โ16 in = 543โ16 in
15. 4 cuts for 5 pieces = 4โ8 in
8
โ16 in + 14โ16 in + 32โ16 in + 21โ16 in + 124โ16 in + 1โ16 in = 187โ8 in
16. 410โ20 Mฮฉ + 215โ20 Mฮฉ + 18โ20 Mฮฉ = 83โ20 Mฮฉ
17. 62โ10 m + 89โ10 m + 205โ10 m + 83โ10 m = 439โ10 m
UNIT 7
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Subtraction of Common Fractions
โ8 in โ (1โ8 in + 1โ8 in) = 1 in
โ64 in โ 5โ64 in = 27โ64 in
4
โ32 in + 3โ32 in + 16โ32 in = 23โ32 in
48
โ32 in โ 23โ32 in = 25โ32 in
11
โ16 in + 2โ16 in + 8โ16 in 15โ16 in.
18โ16 in โ 15โ16 in = 3โ16 in
4
โ32 in + 1โ32 in = 5โ32 in
14
โ32 in โ 5โ32 in = 9โ32 in
4
โ1,000 in + 8โ1,000 in = 12โ1,000 in
875
โ1,000 in โ 12โ1,000 in = 863โ1,000 in
9
5 โ8 in โ 36โ8 in = 23โ8 in
12
โ1,000 in + 12โ1,000 in + 50โ1,000 in + 50โ1,000 in = 124โ1,000 in
500
โ1.000 in โ 124โ1,000 in = 376โ1,000 in
59
โ64 in โ 58โ64 = 1โ64 in
38โ64 in โ (3โ64 in + 3โ64 in) = 31โ32 in
268โ64 in โ (19โ64 + 19โ64 in) = 215โ32 in
156โ64 in โ 49โ64 in = 17โ64 in
510โ8 mA โ 43โ8 mA = 17โ8 mA
1994โ4 ft = 463โ4 ft = 1531โ4 ft
10
32
1. a. 121โ32
b. 221โ32
c. 217โ48
d. 211โ20
2. 43โ48 hp
3. 17โ8 hp
4. 47โ60 ฮฉ
5. 3โ16 in
6. 1 in
7 17โ64 in
8. 161โ64 in
9. 7โ16 in
10. 4 in
11. 65โ16 in
12. 151โ8 in
13. 11โ64 in
14. 543โ16 in
15. 187โ8 in
16. 83โ20 Mฮฉ
17. 439โ10 m
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
1 in
โ64 in
25
โ32 in
3
โ16 in
9
โ32 in
863
โ1,000 in
23โ8 in
376
โ1,000 in
1
โ64 in
31โ32 in
215โ32 in
17โ64 in
17โ8 mA
1531โ4 ft
27
5
6
Instructorโs Guide
UNIT 8
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Multiplication of Common Fractions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
79โ16 lb
$380
2557โ12 ft
831โ2 hp
26311โ12 ft
923โ4 hr
269โ16 kW โข h
100 lb
5
โ12 kg
31โ8 A
Instructorโs Guide
UNIT 9
Division of Common Fractions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
1.
2.
3.
4.
5.
20 ft 12 in
240 27
240
4
960
15
ร
= 240 in
รท
=
ร
=
= 35
= 35
1
1 ft
1
4
1
27
27
27
8
14
141โ49 W
8
35
180
113โ17
30
$4
731โ3 m
6.
7.
8.
9.
10.
UNIT 10 Combined Operations with Common
Fractions
1.
โ48 hp + 36โ48 hp + 3โ48 hp + 24โ48 hp + 16โ48 hp + 24โ48 hp + 16โ48 hp +
โ48 hp = 241โ48 hp
1
โ64โณ + 4โ64โณ + 2โ64โณ + 8โ64โณ = 15โ64โณ
2(1โ16โณ) = 1โ8โณ
4
โ32โณ + 4โ32โณ + 4โ32โณ + 1โ32 โณ + 8โ32 โณ = 21โ32โณ
20
โ64โณ + 40โ64โณ + 10โ64โณ + 5โ64โณ = 111โ64 โณ
4(1โ32โณ) + 2(1โ8โณ) + 2(1โ4โณ) = 7โ8โณ
1
โ64โณ + 2โ64โณ + 1โ64โณ + 2โ64โณ + 8โ64โณ + 12โ64โณ = 13โ32โณ
four saw cuts for five pieces
4 (1โ64โณ) = 1โ16โณ
314โ16โณ + 58โ16โณ + 712โ16โณ + 92โ16โณ + 6โ16โณ + 1โ16โณ = 2611โ16โณ
98โ16โณ + 1011โ16โณ + 69โ16โณ + 78โ16โณ + 110โ16โณ = 357โ8โณ
4
โ8โณ โ 3โ8โณ = 1โ8โณ
6
12
2.
3.
4.
5.
6.
7.
8.
9.
1.
2.
3.
4.
5.
6.
7.
8.
9.
241โ48 hp
โ64 in
21
โ32 in
111โ64 in
7
โ8 in
13
โ32 in
2611โ16 in
357โ8 in
1
โ8 in
15
7
8
Instructorโs Guide
10.
โ1,000โณ + 9โ1,000โณ = 15โ1,000โณ
โ1,000โณ โ 15โ1,000โณ = 860โ1,000โณ
625
โ1,000โณ โ 2(16โ1,000โณ + 62โ1,000โณ) = 469โ1,000โณ
58
โ64โณ โ 56โ64โณ = 1โ32โณ
36(61โ2โฒ) + 9(11โ12โฒ) + 4(6โ12โฒ) + 5(18โ12โฒ)
234โฒ + 81โ4โฒ + 2โฒ + 71โ2 = 2513โ4โฒ
12(5โ8 lb) = 71โ2 lb
5(31โ2โฒ) + 8(18โ12โฒ) = 6(30โ12โฒ)
171โ2โฒ + 12โฒ + 15โฒ = 441โ2โฒ
3(71โ2 hp) + 4(11โ2 hp) + 2(1โ4 hp) + 3(1โ2 hp)
221โ2 hr + 6 hp + 1โ2 hp + 11โ2 hp = 301โ2 hp
6
875
11.
12.
13.
14.
15.
16.
17.
18.
9 pieces ร 2 = 18 pieces
19.
20.
21.
22.
371โ2 hr รท 71โ2 hr = 5
23.
24.
25.
26.
27.
28.
10 3 10 2
รท =
ร = 62 /3 = 6 whole pieces
1
2
1
3
10.
11.
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17.
18.
19.
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24.
25.
26.
27.
28.
โ1,000 in
โ1,000 in
1
โ32 in
2513โ4โฒ
71โ2 lb
441โ2 ft
301โ2 hp
$960
18
$3
35
1,19341โ60 r
5
30
11โ2 kW
5,000 ft
62โ3 or 6 whole pieces
49
65 hr
860
469
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