# Solution Manual for Practical Problems in Mathematics for Electricians, 9th Edition

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Instructorโs 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. 10โ32 + 12โ32 + 24โ32 + 7โ32 = 121โ32 b. 2โ32 + 24โ32 + 28โ32 + 31โ32 = 221โ32 c. 36โ48 + 32โ48 + 30โ48 + 15โ48 = 217โ48 d. 14โ20 + 16โ20 + 15โ20 + 6โ20 = 211โ20 3 2. โ48 hp + 16โ48 hp + 16โ48 hp + 8โ48 hp = 43โ48 hp 3. 4โ8 hp + 4โ8 hp + 6โ8 hp + 1โ8 hp = 17โ8 hp 4. 15โ60 ฮฉ + 50โ60 ฮฉ + 40โ60 ฮฉ + 20โ60 ฮฉ + 50โ60 ฮฉ + 36โ60 ฮฉ + 24โ60 ฮฉ + 12 โ60 ฮฉ = 47โ60 ฮฉ 1 5. โ64 in + 2โ64 in + 1โ64 in + 8โ64 in = 3โ16 in 6. 62โ64 in + 1โ64 in + 1โ64 in = 1 in 7. 52โ64 in + 5โ64 in + 6โ64 in + 8โ64 in = 17โ64 in. 8. 1โ64 in + 8โ64 in + 8โ64 + 4โ64 in + 48โ64 in + 56โ64 in = 161โ64 in 9. 1โ64 in + 1โ64 + 1โ64 in + 1โ64 in + 4โ64 in + 4โ64 in + 8โ64 in + 8โ64 in = 7โ16 in 10. 26โ8 in +5โ8 in + 5โ8 in = 4 in 11. 14โ16 in + 14โ16 in + 312โ16 + 13โ16 in = 65โ16 in 12. 96โ8 in + 21โ8 + 32โ8 in = 151โ8 in 13. 4โ64 in + 32โ64 in + 8โ64 in + 6โ64 in + 3โ64 in + 12โ64 in = 11โ64 in 14. 4 cuts for 5 pieces = 4โ16 in 4 โ16 in + 714โ16 in + 34โ16 in + 68โ16 in + 122โ16 in + 243โ16 in = 543โ16 in 15. 4 cuts for 5 pieces = 4โ8 in 8 โ16 in + 14โ16 in + 32โ16 in + 21โ16 in + 124โ16 in + 1โ16 in = 187โ8 in 16. 410โ20 Mฮฉ + 215โ20 Mฮฉ + 18โ20 Mฮฉ = 83โ20 Mฮฉ 17. 62โ10 m + 89โ10 m + 205โ10 m + 83โ10 m = 439โ10 m UNIT 7 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. Subtraction of Common Fractions โ8 in โ (1โ8 in + 1โ8 in) = 1 in โ64 in โ 5โ64 in = 27โ64 in 4 โ32 in + 3โ32 in + 16โ32 in = 23โ32 in 48 โ32 in โ 23โ32 in = 25โ32 in 11 โ16 in + 2โ16 in + 8โ16 in 15โ16 in. 18โ16 in โ 15โ16 in = 3โ16 in 4 โ32 in + 1โ32 in = 5โ32 in 14 โ32 in โ 5โ32 in = 9โ32 in 4 โ1,000 in + 8โ1,000 in = 12โ1,000 in 875 โ1,000 in โ 12โ1,000 in = 863โ1,000 in 9 5 โ8 in โ 36โ8 in = 23โ8 in 12 โ1,000 in + 12โ1,000 in + 50โ1,000 in + 50โ1,000 in = 124โ1,000 in 500 โ1.000 in โ 124โ1,000 in = 376โ1,000 in 59 โ64 in โ 58โ64 = 1โ64 in 38โ64 in โ (3โ64 in + 3โ64 in) = 31โ32 in 268โ64 in โ (19โ64 + 19โ64 in) = 215โ32 in 156โ64 in โ 49โ64 in = 17โ64 in 510โ8 mA โ 43โ8 mA = 17โ8 mA 1994โ4 ft = 463โ4 ft = 1531โ4 ft 10 32 1. a. 121โ32 b. 221โ32 c. 217โ48 d. 211โ20 2. 43โ48 hp 3. 17โ8 hp 4. 47โ60 ฮฉ 5. 3โ16 in 6. 1 in 7 17โ64 in 8. 161โ64 in 9. 7โ16 in 10. 4 in 11. 65โ16 in 12. 151โ8 in 13. 11โ64 in 14. 543โ16 in 15. 187โ8 in 16. 83โ20 Mฮฉ 17. 439โ10 m 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 1 in โ64 in 25 โ32 in 3 โ16 in 9 โ32 in 863 โ1,000 in 23โ8 in 376 โ1,000 in 1 โ64 in 31โ32 in 215โ32 in 17โ64 in 17โ8 mA 1531โ4 ft 27 5 6 Instructorโs 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. 79โ16 lb \$380 2557โ12 ft 831โ2 hp 26311โ12 ft 923โ4 hr 269โ16 kW โข h 100 lb 5 โ12 kg 31โ8 A Instructorโs 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 141โ49 W 8 35 180 113โ17 30 \$4 731โ3 m 6. 7. 8. 9. 10. UNIT 10 Combined Operations with Common Fractions 1. โ48 hp + 36โ48 hp + 3โ48 hp + 24โ48 hp + 16โ48 hp + 24โ48 hp + 16โ48 hp + โ48 hp = 241โ48 hp 1 โ64โณ + 4โ64โณ + 2โ64โณ + 8โ64โณ = 15โ64โณ 2(1โ16โณ) = 1โ8โณ 4 โ32โณ + 4โ32โณ + 4โ32โณ + 1โ32 โณ + 8โ32 โณ = 21โ32โณ 20 โ64โณ + 40โ64โณ + 10โ64โณ + 5โ64โณ = 111โ64 โณ 4(1โ32โณ) + 2(1โ8โณ) + 2(1โ4โณ) = 7โ8โณ 1 โ64โณ + 2โ64โณ + 1โ64โณ + 2โ64โณ + 8โ64โณ + 12โ64โณ = 13โ32โณ four saw cuts for five pieces 4 (1โ64โณ) = 1โ16โณ 314โ16โณ + 58โ16โณ + 712โ16โณ + 92โ16โณ + 6โ16โณ + 1โ16โณ = 2611โ16โณ 98โ16โณ + 1011โ16โณ + 69โ16โณ + 78โ16โณ + 110โ16โณ = 357โ8โณ 4 โ8โณ โ 3โ8โณ = 1โ8โณ 6 12 2. 3. 4. 5. 6. 7. 8. 9. 1. 2. 3. 4. 5. 6. 7. 8. 9. 241โ48 hp โ64 in 21 โ32 in 111โ64 in 7 โ8 in 13 โ32 in 2611โ16 in 357โ8 in 1 โ8 in 15 7 8 Instructorโs Guide 10. โ1,000โณ + 9โ1,000โณ = 15โ1,000โณ โ1,000โณ โ 15โ1,000โณ = 860โ1,000โณ 625 โ1,000โณ โ 2(16โ1,000โณ + 62โ1,000โณ) = 469โ1,000โณ 58 โ64โณ โ 56โ64โณ = 1โ32โณ 36(61โ2โฒ) + 9(11โ12โฒ) + 4(6โ12โฒ) + 5(18โ12โฒ) 234โฒ + 81โ4โฒ + 2โฒ + 71โ2 = 2513โ4โฒ 12(5โ8 lb) = 71โ2 lb 5(31โ2โฒ) + 8(18โ12โฒ) = 6(30โ12โฒ) 171โ2โฒ + 12โฒ + 15โฒ = 441โ2โฒ 3(71โ2 hp) + 4(11โ2 hp) + 2(1โ4 hp) + 3(1โ2 hp) 221โ2 hr + 6 hp + 1โ2 hp + 11โ2 hp = 301โ2 hp 6 875 11. 12. 13. 14. 15. 16. 17. 18. 9 pieces ร 2 = 18 pieces 19. 20. 21. 22. 371โ2 hr รท 71โ2 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. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. โ1,000 in โ1,000 in 1 โ32 in 2513โ4โฒ 71โ2 lb 441โ2 ft 301โ2 hp \$960 18 \$3 35 1,19341โ60 r 5 30 11โ2 kW 5,000 ft 62โ3 or 6 whole pieces 49 65 hr 860 469

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### Solution Manual for Practical Problems in Mathematics for Electricians, 9th Edition

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