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Worksheet on Fractions

In worksheet on fractions, all grade students can practice the questions on fractions on a whole number and also on representation of a fraction. This exercise sheet on fractions can be practiced by the students to get more ideas on fractions.

In this worksheet on fractions we will get different types of questions on fractions, comparison of fractions, fractions in ascending order, fractions in descending order, find the fractions to make the fractions equivalent, conversion of fractions, expressed as mixed fractions, express as improper fractions, fractions in lowest terms, reduce to the fractions to the lowest terms and express as a mixed fractions, addition of fractions, subtraction of fractions, multiplication of fractions, division of fractions and word problems on fractions.


1. Answer the following questions for each given shape:

(a)

Worksheet on Fractions




(b)

Representation of fraction








(c)








(d)








(e)








(i) How many equals are there in each shape?

(ii) Express each equal part as a fraction.

(iii) Express the shaded part as a fraction.

(iv) Express each unshaded part as a fraction.



2. Write the fraction for the objects in the shaded part of the closed figure as a part of the whole collection.

closed figure as a part of the whole collection


3. Write the following fractions in words:

(i) 59 (five-ninth, five upon nine)

(ii) 37

(iii) 211

(iv) 47

(v) 714

(vi) 913

(vii) 310



4. Fill in the blanks:

(i) For two parts out of seven we say ‘two-seventh’ and write 27.

(ii) For ‘four parts out of five’ we say ……………… and write ……………….. .

(iii) For ‘nine parts out of seventeen’ we say …………… and write ………….. .

(iv) For ‘three parts out of six’ we say ……………… and write ……………… .

5. Write the fraction representing the coloured parts.

Worksheet on Fractions


6. Write each of the following as a division.

(i) 37

(ii) 519

(iii) 819

(iv) 2329


7. Write each of the following as a fraction.

(1) 1 ÷ 9

(ii) 2 ÷ 25

(iii) 3 ÷ 74

(iv) 3 ÷ 91


8. Find 39 of

(i) 54 m

(ii) 27 kg

(iii) 189 cm

(iv) 72 ml


9. Represent each of the following fractions on the number line.

(i) 34

(ii) 23

(iii) 37

(iv) 25


10. Nairitee has 45 pencils. She uses 29 of them. How many pencils does she have now?

11. What fraction of an ordinary year is 220 days?

12. Look at the number line given in Fig. and answer the following questions:

Fraction on the Number Line

(i) What fraction does the point A represent?

(ii) What fraction does the point C represent?

(iii) What fraction does the point D represent?


13. Draw pictures to show the following:

(i) five-eighth of a collection

(ii) five-twelfth of a collection

(iii) four-ninth of a rectangular shape

(iv) three-fourth of a square


14. Change into an equivalent fraction with denominator 32.

(i) 34

(ii) 58

(iii) 12

(iv) 916


15. Fill in each box with >, < or = to make the statements true:

(i) 34 □ 43

(ii) 78 □ 45

(iii) 56 □ 1518

(iv) 1513 □ 1511

(v) 2032 □ 12

(vi) 78 □ 710

(vii) 35 □ 25

(viii) 57 □ 811

(ix) 47 □ 2035

(x) 59 □ 1227

(xi) 23 □ 34

(xii) 36 □ 318

(xiii) 37 □ 57

(xiv) 45 □ 56

(xv) 1417 □ 4251

(xvi) 110 □ 320

(xvii) 45 □ 625

(xviii) 524 □ 1572


16. Reduce the following fractions into their lowest terms:

or, Express in the lowest terms.

(i) 1218 

(ii) 2436

(iii) 6296

(iv) 40120

(v) 4056

(vi) 39

(vii) 414

(viii) 1080

(ix) 4060

(x) 3070

(xi) 99110

(xii) 82160

(xiii) 4048

(xiv) 5185

(xv) 763


17. Add the following fractions:

(i) 24 + 14

(ii) 710310

(iii) 1414

(iv) 314114414

(v) 318 + 118718

(vi) 630430

(vii) 414814214

(viii) 815115315


18. Subtract the following fractions.

(i) 914 - 414

(ii) 530430

(iii) 712212

(iv) 834534


19. Which of the following are proper fractions?

(i) 43

(ii) 711

(iii) 619

(iv) 511

(v) 1511

(vi) 148

(vii) 1217

(viii) 2324

(ix) 98

(x) 62


20. Classify the following fractions as proper or improper or mixed fractions:

(i) 1510

(ii) 29

(iii) 267

(iv) 3551

(ν) 1629

(vi) 4111

(vii) 327128

(viii) 42072


21. Which of the following are groups of like fractions?

(i) 1525814618

(ii) 31121115112211

(iii) 18713717227

(iv) 421021211076


22. Check whether the given fractions are equivalent or not.

(i) 35915

(ii) 471923

(iii) 494142

(iv) 7123245

(v) 3112177

(vi) 8153065


23. Write 🔲 in each of the following by the correct number:

(i) 458🔲

(ii) 5720🔲

(iii) 16 = 🔲18

(iv) 51215🔲

(v) 713 = 🔲39

(vi) 715 = 🔲60


24. Find the equivalent fraction of:

(i) 57 having numerator 25

(ii) 56 having denominator 42

(iii) 79 having denominator 72

(iv) 618 having numerator 3

(v) 2030 having numerator 12

(vi) 3033 having denominator 11


25. Convert each of the following mixed fractions into an improper fraction.

or, Express as improper fractions.

(i) 213

(ii) 437

(iii) 8417

(iv) 9620

(v) 235

(vi) 449

(vii) 316

(viii) 567

(ix) 729

(x) 357

(xi) 5712

(xii) 589

(xiii) 2421

(xiv) 8725


26. Convert each of the following improper fractions into a mixed fraction.

or, Express as mixed fraction

(i) 137

(ii) 287

(iii) 1057

(iv) 34712

(v) 154

(vi) 356

(vii) 194

(viii) 718

(ix) 965

(x) 297

(xi) 7713

(xii) 5417

(xiii) 907

(xiv) 209


27. Write the following in ascending order.

(i) 2/7, 8/7, 5/7, 3/7, 1/7

(ii) 7/5, 7/2, 7/4, 7/3, 7/6

(iii) 2/7, 4/9, 1/8, 3/7, 3/8

(iv) 3/5, 2/5, 2/9, 4/4, 1/3

(v) 7/12, 2/10, 3/8, 2/11, 4/9

(vi) 5/12, 5/24, 13/58, 6/7, 3/8


28. Write the following in descending order.

(i) 3/8, 5/8, 1/8, 7/8, 2/8

(ii) 2/9, 1/3, 4/15, 5/12, 5/6

(iii) 4/5, 2/7, 1/5, 6/7, 3/5

(iv) 9/7, 9/5, 9/4, 9/8, 9/2

(v) 1/2, 2/3, 3/4, 1/6, 3/7

(vi) 2/9, 3/4, 1/2, 2/3, 1/4


29. Fill in the boxes to make the fractions equivalent.

(i) 35 = 🔲20 = 30🔲

(ii) 25 = 16🔲 = 🔲80

(iii) 47 = 🔲28 = 36🔲

(iv) 34 = 15🔲 = 🔲28

(ν) 37 = 9🔲 = 🔲35

(vi) 14 = 3🔲 = 🔲24

(vii) 4🔲 = 1215 = 20🔲

(viii) 37 = 🔲42 = 36🔲


30. Reduce to the lowest terms and express each of them as a mixed number.

(i) 88/6

(ii) 78/12

(iii) 25/15

(iv) 24/9

(v) 77/5

(vi) 54/21

(vii) 45/10

(viii) 62/12

(ix) 69/15

(x) 35/14


31. Find the sum of the following fracions.

(i) 437 + 327

(ii) 1813 + 21139

(iii) 127 + 514 + 1121

(iv) 315 + 234 + 412

(v) 323 + 434 + 535

(vi) 234 + 145 + 135

(vii) 216 + 1114 + 736

(viii) 3316 + 278 + 234


31. Find the difference of the following fractions.

(i) 57 - 27

(ii) 1532 - 716

(iii) 49 - 227

(iv) 38 - 116

(v) 34 - 23

(vi) 234 - 158

(vii) 1316 - 34

(viii) 1634 - 9916

(ix) 567 - 329

(x) 458 - 21924

(xi) 423 - 325

(xii) 527 - 2521

(xiii) 834 - 416

(xiv) 7110 - 5320

(xv) 949 - 7227


32. Find the product of the following fractions:

(i) 47 × 9

(ii) 617 × 12

(iii) 928 × 12

(iv) 138 × 4

(v) 259 × 15

(vi) 6317 × 51

(vii) 259 × 23

(viii) 317 × 217

(ix) 438 × 14

(x) 114 × 235

(xi) 438 × 2115

(xii) 937 × 2617

(xiii) 534 × 315

(xiv) 3910 × 1311

(xv) 656 × 413


33. Divide the following fractions:

(i) 25 ÷ 9

(ii) 47 ÷ 12

(iii) 14 ÷ 12

(iv) 17 ÷ 38

(v) 217 ÷ 517

(vi) 322 ÷ 611

(vii) 158 ÷ 12

(viii) 435 ÷ 17

(ix) 547 ÷ 38

(x) 267 ÷ 1617

(xi) 2117 ÷ 1334

(xii) 838 ÷ 227

(xiii) 512 ÷ 413

(xiv) 723 ÷ 167

(xv) 638 ÷ 234

(xvi) 525 ÷ 3215

(xvii) 2516 ÷ 5512

(xviii) 627 ÷ 35

(xix) 267 ÷ 3124

(xx) 617 ÷ 1151

(xxi) 322 ÷ 12325


Fraction Worksheet

Worksheet on Fractions Answers:

3. (ii) three-seventh, three upon seven

(iii) two-eleventh, two upon eleven

(iv) four-seventh, four upon seven

(v) seven-fourteenth, seven upon fourteen

(vi) nine-thirteenth, nine upon thirteen

(vii) three-tenth, three upon ten


4. (ii) four-fifth, 45

(iii) nine-seventeenth, 917

(iv) three-sixth, 36


5. (i) 12

(ii) 58

(iii) 36

(iv) 24

(v) 26

(vi) 14


6. (i) 3 ÷ 7

(ii) 5 ÷ 19

(iii) 8 ÷ 19

(iv) 23 ÷ 29


7. (i) 19

(ii) 225

(iii) 374

(iv) 391


8. (i) 18 m

(ii) 9 kg

(iii) 63 cm

(iv) 24 ml


9.

10. 35 pencils

11. 220365

12. (i) A represents as 112

(ii) C represents as 712

(iii) D represents as 912


13.

14. (i) 2432

(ii) 2032

(iii) 1632

(iv) 1832


15. (i) <

(ii) <

(iii) =

(iv) <

(v) <

(vi) >

(vii) >

(viii) <

(ix) =

(x) >

(xi) <

(xii) >

(xiii) <

(xiv) <

(xv) =

(xvi) <

(xvii) >

(xviii) =


16. (i) 23

(ii) 23

(iii) 3148

(iv) 13

(v) 57

(vi) 13

(vii) 27

(viii) 1080

(ix) 18

(x) 37

(xi) 910

(xii) 4180

(xiii) 56

(xiv) 35

(xv) 19


17. (i) 34

(ii) 1010 = 1

(iii) 24 = 12

(iv) 814 = 47

(v) 1118

(vi) 1030 = 13

(vii) 1414 = 1

(viii) 1215 = 45


18. (i) 514

(ii) 130

(iii) 512

(iv) 334

19. (ii), (iii), (iv), (vii), (viii) are proper fractions because numerators are less than the denominators.


20. (i) improper fraction

(ii) proper fraction

(iii) mixed fraction

(iv) proper fraction

(ν) proper fraction

(vi) improper fraction

(vii) improper fraction

(viii) mixed fraction


21. (ii) and (iii) are like fractions.

22. (i) equivalent fraction

(ii) not equivalent fraction

(iii) not equivalent fraction

(iv) not equivalent fraction

(v) equivalent fraction

(vi) not equivalent fraction


23. (i) 10

(ii) 28

(iii) 3

(iv) 36

(v) 21

(vi) 28


24. (i) 2535

(ii) 3542

(iii) 5672

(iv) 39

(v) 1218

(vi) 1011


25. (i) 73

(ii) 317

(iii) 14017

(iv) 18620

(v) 135

(vi) 409

(vii) 196

(viii) 417

(ix) 659

(x) 267

(xi) 6712

(xii) 539

(xiii) 4621

(xiv) 20725


26. (i) 167

(ii) 4

(iii) 15

(iv) 281112

(v) 334

(vi) 556

(vii) 434

(viii) 878

(ix) 1915

(x) 417

(xi) 51213

(xii) 3317

(xiii) 1267

(xiv) 229


27. (i) 1/7, 2/7, 3/7, 3/7, 5/7, 8/7

(ii) 7/6, 7/5, 7/4, 7/3, 7/2

(iii) 1/8, 2/7, 3/8, 3/7, 4/9

(iv) 2/9, 1/3, 2/5, 3/5, 4/4

(v) 2/11, 2/10, 3/8, 4/9, 7/12

(vi) 5/24, 13/58, 3/8, 5/12, 6/7


28. (i) 7/8, 5/8, 3/8, 2/8, 1/8

(ii) 5/6, 5/12, 1/3, 4/15, 2/9

(iii) 6/7, 4/5, 3/5, 2/7, 1/5

(iv) 9/2, 9/4, 9/5, 9/7, 9/8

(v) 3/4, 2/3, 1/2, 3/7, 1/6

(vi) 3/4, 2/3, 1/2, 1/4, 2/9


29. (i) 12, 50

(ii) 40, 32

(iii) 16, 63

(iv) 20, 21

(ν) 21, 15

(vi) 12, 6

(vii) 5, 25

(viii) 18, 84


30. (i) 1423

(ii) 612

(iii) 123

(iv) 223

(v) 1525

(vi) 247

(vii) 412

(viii) 516

(ix) 435

(x) 212


31. (i) 757

(ii) 33539

(iii) 22942

(iv) 10920

(v) 14160

(vi) 6320

(vii) 3109252

(viii) 81316


31. (i) 37

(ii) 132

(iii) 1027

(iv) 516

(v) 112

(vi) 118

(vii) 716

(viii) 7316

(ix) 24063

(x) 156

(xi) 1415

(xii) 3121

(xiii) 4712

(xiv) 11920

(xv) 21027


32. (i) 517

(ii) 4417

(iii) 367

(iv) 512

(v) 3813

(vi) 315

(vii) 11927

(viii) 44119

(ix) 1332

(x) 314

(xi) 9124

(xii) 2222119

(xiii) 1825

(xiv) 45355

(xv) 291118


33. (i) 245

(ii) 121

(iii) 148

(iv) 821

(v) 25

(vi) 14

(vii) 314

(viii) 3215

(ix) 1467

(x) 218161

(xi) 13337

(xii) 385128

(xiii) 1726

(xiv) 4539

(xv) 2722

(xvi) 13447

(xvii) 44265

(xviii) 101121

(xix) 480511

(xx) 926

(xxi) 25352

If students have any queries regarding the Worksheet on expanded form of a number questions please fill-up the comment box so that we can help you.

However, suggestions for further improvement, from all quarters would be greatly appreciated.

You might like these

 Fractional Numbers - worksheets

Worksheet on Equivalent Fractions.

Worksheet on Fractions.

Worksheet on Comparison of Like Fractions.

Worksheet on Conversion of Fractions.

Worksheet on Changing Fractions.

Worksheet on Types of Fractions.

Worksheet on Reducing Fraction.

Worksheet on Addition of Fractions having the Same Denominator.

Worksheet on Subtraction of Fractions having the Same Denominator.

Worksheet on Add and Subtract Fractions.

Worksheet on Fractional Numbers.





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