pecahan

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BAB 3 : PECAHAN 3.1 Pecahan. A. Tuliskan pecahan yang mewakili kawasan berlorek pada gambarajah di bawah. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10 . 11 . 12 . B. Lorekkan pecahan berikut pada gambarajah yang diberikan. 1 . 1 2 2 . 2 5 3 . 5 6 1

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Page 1: Pecahan

BAB 3 : PECAHAN3.1 Pecahan.

A. Tuliskan pecahan yang mewakili kawasan berlorek pada gambarajah di bawah.1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

B. Lorekkan pecahan berikut pada gambarajah yang diberikan.1. 1

22.

25

3. 56

1

Page 2: Pecahan

4. 78

5.

67

6. 710

7. 12

8.

59

9. 23

C. Tuliskan pecahan yang mewakili pada kedudukan huruf yang diberikan pada garis nomboir di bawah.1.

2.

3.

4.

D. Tandakan pecahan yang diberikan pada garis nombor bi bawah.1. 1

5

2

Page 3: Pecahan

2. 27

3. 49

4. 1115

3.2 Pecahan Setara.A. Isikan tempat kosong dengan jawapan yang betul.1.

34= 9

2.820

=❑5

3.37=21❑

4.16= ❑18

5.79= ❑36

6.3590

= ❑18

7.❑7

=1449

8.❑25

=25

9.23=❑6

= 6❑

10.47=16❑= ❑

42

11.38= ❑40

=27❑

12.913

=18❑= ❑78

13.4272

=21❑ =❑12

14.❑96

= 632

= 3❑

15.47=12❑= ❑

84

B. Tentukan bahawa setiap pasangan pecahan yang berikut adalah setara atau tidak.1. 2

5 and

123

2. 47

and 2035

3

Page 4: Pecahan

3. 38

and 1548

4. 712

and 2136

C. Bulatkan pecahan yang lebih besar nilainya.1. 2

3'15

2. 59'1427

3. 23'12

4. 1011'1112

E. Susunkan pecahan yang berikut mengikut tertib menaik.1. 1

2,34,23

2. 13,35,24

4

Page 5: Pecahan

3. 23,57,45

4. 36,512,1424

=¿

F. Permudahkan pecahan yang diberikan .1. 14

30=¿ 2. 3

6=¿ 3. 8

28=¿

4. 1234

=¿ 5. 5481

=¿ 6. 4575

=¿

7. 8090

=¿ 8. 36144

=¿ 9. 48200

=¿

10. 1228

=¿ 11. 1827

=¿ 12. 2456

=¿

13. 6480

=¿ 14. 56144

=¿ 15. 25125

=¿

3.3 Nombor Bercampur.A. Tuliskan nombor bercampur yang mewakili kawasan berlorek pada gambarajah di bawah.

1. 2. 3.

5

Page 6: Pecahan

4. 5. 6.

B. Lukiskan gambarajah yang sesuai untuk mewakili nombor bercampur yang diberikan.1.

112

2.223

3.314

C. Lukikan garis nombor untuk setiap soalan. Tandakan nombor bercampur yang diberikan pada garis nombo yang dilukis.1.

134

6

Page 7: Pecahan

2.213

3.123

4.235

3.4 Pecahan Wajar dan Pecahan Tak Wajar.A. Kumpulankan pecahan wajar dan pecahan tak wajar.35

43

58

27

109

165

114

712

1314

118

1316

1013

23

52

1211

2332

94

74

3553

65

736

5047

154

1117

56

86

222

714

3223

37

B. Tukarkan setiap nombor bercampur kepada pecahan tak wajar.1.

329=¿ 2.

312=¿ 3.

527=¿

4.435=¿ 5.

656=¿ 6.

923=¿

7

Pecahan Wajar Pecahan Tak Wajar

Page 8: Pecahan

7.10811

=¿ 8.12910

=¿ 9.1458=¿

10.159=¿ 11

. 237=¿ 12.

325=¿

13.4913

=¿ 14. 7

16=¿ 15.

1235=¿

C. Tukarkan setiap pecahan tak wajar kepada nombor bercampur.1. 9

7=¿ 2. 13

2=¿ 3. 52

3=¿

4. 535

=¿ 5. 456

=¿ 6. 247

=¿

7. 8011

=¿ 8. 9212

=¿ 9. 978

=¿

10. 118

=¿ 11. 245

=¿ 12. 186

=¿

13. 369

=¿ 14. 6813

=¿ 15. 7518

=¿

3.5 Addition and Subtraction of Fractions.

A. Find the sum of the following fractions. State the answer in the lowest term.1. 3

8+ 28=¿ 2. 3

4+ 310

=¿

8

Page 9: Pecahan

3. 59+ 23=¿ 4. 1

2+ 27=¿

5. 38+ 16=¿ 6. 1

4+ 13=¿

7. 37+1 14=¿ 8.

2112

+1 58=¿

9.3715

+2 45=¿ 10

. 2+ 49=¿

11.556+3 78=¿ 12

. 5116

+3 710

=¿

13.156+ 712

=¿ 14. 2

911

+ 45=¿

9

Page 10: Pecahan

15. 25+ 225

+1625

=¿ 16.

45+ 37+12=¿

17. 15+ 14+ 310

=¿ 18.

12+ 23+ 34=¿

19. 25+ 14+ 910

=¿ 20.

56+ 34+12=¿

23. 512

+ 415

+ 35=¿ 24

.38+1 18+3 12=¿

25.159+ 16+4=¿ 26

. 334+2 18+1 310

=¿

10

Page 11: Pecahan

OMEGA TUITION CENTRE

Name of Student Teacher Miss Helen Pappu

Subject Mathematics Class 1 Maths (3)

Topic Chapter 3: Fractions Lesson 8

Subtopic 3.5 Addition and Subtraction of Fractions.3.6 Multiplication and Division of Fractions.

Date 28.02.2014

Day / Time Friday / 2.30 – 4.30pm

3.5 Addition and Subtraction of Fractions. (Cont.)

B. Find the value of each of the following.1. 7

9−29=¿ 2. 8

11− 511

=¿

3. 57−13=¿ 4. 4

5−34=¿

5. 23−58=¿ 6. 5

6−34=¿

7. 34−16=¿ 8. 7

8−34=¿

9. 710

−35=¿ 10

.34−38=¿

11

Page 12: Pecahan

11. 1415

− 710

=¿ 12.

67−25=¿

13. 56−79=¿ 14

.2435

− 914

=¿

15. 1439

− 213

=¿ 16. 3

35− 910

=¿

17.435−49=¿ 18

. 6− 411

=¿

19.567−56=¿ 20

. 425−1 8

9=¿

21.7911

−5 45=¿ 22

. 456−2 910

=¿

12

Page 13: Pecahan

23.637−1 2235

=¿ 24. 2

25−1 1

3=¿

25.212−1 1

9=¿ 26

. 256−1 23=¿

27.714−2 35−1 16=¿ 28

. 4−2 34−45=¿

29.216− 518

−49=¿ 30

. 619−2 3

4−1 1

6=¿

13

Page 14: Pecahan

C. Solve the following problems.1.

Normah spends 38

of her salary on food, 14

on books,

16

on car loan and saves the rest. What fraction of her

salary does she save?

2.Hassan bought a box of pens. He gave

16

of the pens

to Hilman and 59

to Ammirul. What fraction of the

pens did he give altogether?

3. Julie has three lengths of ribbon each measuring

213

m , 114

m and 138

m respectively. What is the

total length of ribbon Julie has?

4.Roslin bought 6 m of cloth. She used 2

16

m and

223

m to sew curtains for her house. Find the length

of the remaining cloth.

5. A sum of money is divided among four children. The

first three children receive 13,310

and 14

of the money

respectively. Find the fraction of money the fourth child receives.

6.Latifah has 5

12

kg of flour while Rozita has 123

kg of

flour more than her. What is the mass of flour Rozita has?

7.Ramli needs 2

34

m of cloth to sew a pair of trousers.

Naim needs only 235

m of cloth for his trousers. If

they have 612

m of cloth, what is the length of the

remaining piece of cloth?

8.Farid took 5

13

hours to paint four walls. If he took

112

hours to paint the first wall and 134

hours tp

paint the second wall, find the time taken to paint the remaining two walls.

14

Page 15: Pecahan

3.6 Multiplication and Division of Fractions.

A. Find the value of each of the following.1.

3×15=¿ 2.

2×37=¿

3.4×

211

=¿ 4.12×

34=¿

5.21×

47=¿ 6.

32×58=¿

7.15×

29=¿ 8.

8×712

=¿

9.45×

318

=¿ 10.2×2

14=¿

11.138×16=¿ 12.

345×40=¿

13. 56×23=¿ 14. 4

9×38=¿

15. 920×1118

=¿ 16. 79×35=¿

15

Page 16: Pecahan

17. 710×1314

=¿ 18. 2425×2728

=¿

19. 2227×4

1011

=¿ 20. 512×815

=¿

21. 421×1516

=¿ 22. 815×2132

=¿

23.345×13738

=¿ 24.4913×2

861

=¿

25. 112×58×45=¿ 26. 3

10×415×512

=¿

27.116×27×45=¿ 28.

213×335×11114

=¿

29. 89×318×108=¿ 30.

1611×3334×212=¿

B. Divide each of the following.

16

Page 17: Pecahan

1. 67÷27=¿ 2. 16

25÷815

=¿

3. 815÷3245

=¿ 4. 730÷1415

=¿

5. 916÷4148

=¿ 6. 1423÷84115

=¿

7.4 ÷1013

=¿ 8.72÷

38=¿

9. 49÷4=¿ 10. 5

7÷15=¿

11.10÷2

17=¿ 12.

9÷157=¿

13. 1013÷114=¿ 14. 12

18÷112=¿

15.513÷135=¿ 16.

445÷910

=¿

17

Page 18: Pecahan

17.623÷334=¿ 18.

217÷11114

=¿

19.156÷234=¿ 20.

878÷7

110

=¿

21.223÷179=¿ 22.

379÷189=¿

23.378÷2

712

=¿ 24.416÷123=¿

25.979÷513=¿ 26.

113÷216=¿

18

Page 19: Pecahan

27.116÷1

712

=¿ 28.214÷138=¿

29. 45÷1

715

=¿ 30. 512÷118=¿

OMEGA TUITION CENTREName of Student Teacher Miss Helen PappuSubject Mathematics Class 1 Maths (3)Topic Chapter 3: Fractions Lesson 9Subtopic 3.7 Combined Operation Date 07.03.2014Day / Time Friday / 2.30 – 4.30pm3.7 Combined Operation.A. Solve the following and express the answers in the lowest term.1. 2

3−38+ 56=¿ 2. 5

6−34+ 23=¿

3. 114−13+ 12=¿ 4. 4

15÷59×123=¿

19

Page 20: Pecahan

5. 712÷38×335=¿ 6. 1

8×635÷2

110

=¿

7. ( 38 +56 )×2 25=¿ 8. ( 16 + 2

3 )×1 12=¿

9.214÷(1 25− 7

10 )=¿ 10. 34+ 14×67=¿

11. 18+ 16×38=¿ 12. 5

6−13÷512

=¿

20

Page 21: Pecahan

13. (2 13−78 )÷1 34=¿ 14. (1 14 + 2

5 )÷2 15=¿

15. 325+ 23−3 110

=¿ 16. 113+ 512×49=¿

17. 216÷289×114=¿ 18. 4

23×67÷225=¿

19. ( 79 + 318 )÷ 56=¿ 20. 8

47+3 2021

−4 1114

=¿

21. 1421÷ (2 821−37 )=¿ 22. (2 811−1 34 )× 3343=¿

21

Page 22: Pecahan

23. 716÷2148×2023

=¿ 24. 729×335−4 7

8=¿

25. 216÷(1 14 + 1

3 )=¿ 26. 29÷112+35×1021

=¿

B. Solve the following problems.1. Ahmad earns a monthly salary of RM2 400. He spends 3

5 of his salary on his daily expenses every month and saves the rest. What is his total savings after nine months?

2. Razak had a sum of RM576. He divided 56 of the money equally among all his children. If each child received RM120, how many children does he have?

3. A class has 42 students. 47

of the students wear spectacles. If there are 9 girls wear spectacles, how many boys wear spectacles?4. A box consist of 72 pens, 1

4 and 5

12 of the pens are red and blue respectively while the rest are black pens. Calculate the number of black pens.

22

Page 23: Pecahan

5. Rina gave 38 of her savings of RM16 000 in equal shares to her 4 children. Her youngest daughter spent 1

4 of what she got and put the remainder in the bank. How much money did she put in the bank?

6. Sebastian spends 27 of his pay on food

and 16 of the remaining money on entertainment. If his pay is RM8 757, find the total amount he spends on food and entertainment.

OBJECTIVE QUESTIONS.1. 2

3+ 512

=¿

A.1213

C. 1512

B. 1112

D. 2112

9. 920÷3=¿

A.320

C. 2027

B.310

D. 1720

2. 47− 314

=¿

A.314

C. 914

B.514

D. 57

10. 112−34×12=¿

A.38

C. 78

B.58

D. 118

3. Change 4 29 to improper fraction.

A.89

C. 369

B.169

D. 389

11. 49÷( 56−23 )=¿

A. 213

C. 223

B. 212

D. 256

4. Which of the following has the largest value?A.

35

C. 815

B.49

D. 2345

12. 534+ 23−3=¿

A. 547

C. 3 512

B. 4512

D. 247

23

Page 24: Pecahan

5. 635×78=¿

C.340

C. 320

D.18

D. 14

13. Which of the shaded regions in quadrlateral A, B, C and D represents the fraction with the smallest value?

6. 134÷213=¿

A.12

C. 34

B.14

D. 512

7. 12−14−18=¿

A.18

C. 38

B.14

D. 12

8. 716

−38+ 14=¿

A.18

C. 14

B.316

D. 516

14. Which of the following fractions has the smallest value?A.

13

C. 56

B.25

D. 37

20. There are 320 employees in a company. 58 of them are males. 4

5 of the male employees are foreigners. How many male foreign employees in the company?A. 96 C. 160B. 120 D. 20015. Which of the following fractions has the largest value?

A.12

C. 34

B.23

D. 45

16. Which of the following lists of fractions is arranged in ascending order?A. 12,34,23B. 1

2,23,34

21. In a class of 48 students, 14

of the students are English Society members and 38 are Mathematics Society members. The remaining of the students are History Society

24

Page 25: Pecahan

C. 23,34,12D. 3

4,12,23

members. Find thenumber of History Society members in the class.A. 12 C. 30B. 18 D. 3617. 8

21, x ,

914

The fractions above are arranged in ascending order. Which of the following is not the value of x?A.

2542

C. 920

B.27

D. 35

18. Which of the following is not equivalent to 79?

A.1421

C. 2836

B.2127

D. 4254

22. There are 24 boys in a class of 42 students. 10 boys and 16 of the girls won a prize during the English week. How many students of the class won a prize.A. 13 C. 18B. 14 D. 2219. Zulkifli had 270 mangosteens. He sold 5

9 of the mangosteens. Then he gave 36 of the remaining mangosteens to his friends. Calculate the number of mangosteens he has left.C. 84 C. 120D. 114 D. 150

21. There are 40 students in a class. Each students is required to contribute RM3 to the class fund. 58 of the class fund is used to buy newspapers. Calculate the balance of the class fund.A. RM25 C. RM65B. RM45 D. RM85

22. Shamsul received a sum of RM1 980. He spent 715

of the money and gave 1

6 of the remainder to his wife. Find the amount of money he gave to his wife.A. RM154 C. RM924B. RM176 D. RM1 056

27. A sum of RM600 is divided between Ahmad and Azmi. If Ahmad receives 512

of the money, find the amount of money Azmi receives.

25

Page 26: Pecahan

23. A box contains 360 rulers. 25 of the

rulers are plastic rulers and 712

of the plastic rules are red. How many red plastic rulers are there?A. 84 C. 144B. 126 D. 216

28. In a class of 45 students, 35 of them are girls. How many boys are there in a class?

24. Convert 3 713

into an improper fraction.29. In the month of April, Susie spent 1

3 of

her salary on clothings and 25 on food. If she earns a monthly salary of RM 1 800, find the balance of her salary.

25. Express 6014

as a mixed number in its lowest terms.

26. 415×( 34−1

8 )=¿ 30. Rani has 28 metres of ribbon. She uses 1 57

metres of the ribbon to tie a present, 3 13

metres to decorate her class and keeps the remainder in the box. Calculate the length, in metres of the ribbon in the box.

26