simplify fractions 2 a) use a fraction wall to explain why · compare and order (numerator) 1 use...

Simplify fractions

11

12

12

14

14

14

14

15

15

15

15

15

110

110

110

110

110

110

110

110

110

110

13

13

16

17

18

19

17

18

19

18

19

16

17

18

19

16

17

18

19

19

16

17

18

19

16

17

18

19

16

17

18

19

13

Usethefractionwalltowriteeachfractioninitssimplestform.

a) 46

= c) 68

=

b) 810

= d) 48

=

2 a) Useafractionwalltoexplainwhy 710

doesnotsimplify.

b) Findthreemorefractionsonthefractionwallthatcannot

besimplified.

3 Mo,EvaandRonaretryingtosimplify 520

Doyoufullyagree,partlyagreeorcompletelydisagreewith

eachperson?

Talktoapartner.

©WhiteRoseMaths2019

I can’t simplify this because one number

is odd and the other is even.

I can simplify any fraction.

I can’t simplify this because only one number

can be halved.

Mo

Ron

Eva

Supporting lessons can be found at https://whiterosemaths.com/homelearning/year-6/under the section labelled 'Summer Term – Week 3 (w/c 4th May)'

4 a) Drawlinesonthebarmodeltoshowthat 912

isequalto 34

b) Completeeachbarmodelandcalculation.

=39

= 515

5 Simplifythefractions.

a) 412

= b) 812

= c) 40120

= d) 124

=

416

= 816

= 40160

= 1204

=

420

= 820

= 40200

= 12400

=

Describeandexplainanypatternsthatyounoticed.

©WhiteRoseMaths2019

6 Write3fractionsthatsimplifyto 35

7 TeddyandDoraarebothsimplifying3042

a) HowdoyouthinkDorawasabletosimplifythefractionin

onestep?

b) Simplifythesefractionsinonestep.

2430

= 1620

=

5664

= 99121

=

8 isaprimenumber. isamultipleof10

Thefractioncanbesimplified.

Whatcouldeachnumberbe?Explainyourreasoning.

Teddy

3042

= 1521

= 57

Dora

3042 = 5

7

Compare and order (denominator)

1 Write<,>or=tocomparethefractions.

Usethebarmodelstohelpyou.

a)

15

35

b)

57

47

c)

44

34

d)

38

78

e)

49

69

f) Whatdoyounoticeaboutyouranswers?

g) Completethesentence.

Whenthedenominatorsarethesame,the

thenumerator,the thefraction.

2 a) Colourthebarmodelstoshowthefractions.

1420

9

10

45

34

b) Usethebarmodelstosortthesefractionsinorderfromgreatest

tosmallest.

1420

910

45

34

greatest smallest

c) Orderthefractionsfromsmallesttogreatest.

7

10 1

2 25

310

smallest greatest

©WhiteRoseMaths2019

3 Amiriscomparingthefractions 415

and 310

ExplainAmir’smethod.

4 RonandRosiearepractisingpenalties.

Ronscored7outof10.

Rosiescored23outof30

Comparefractionstoexplainwhoshouldtakepenaltiesforthe

schoolteam.

©WhiteRoseMaths2019

5 Write<,>or=tocomparethefractions.

a) 34

56 d) 3

5 5

7

b) 23

59 e) 9

10 3

4

c) 23

78 f) 9

10 19

20

6 Annie,TommyandKimaremakingflagsfortheschoolfair.

Anniehascompleted334

flags,Tommyhascompleted323

flags

andKimhascompleted 185

flags.

Whohascompletedthemostflags?

415 = 8

30 310 = 9

30

930 is greater than

830

310 is greater than

415

I scored more than you, so I should take penalties for the

school team.

I did not miss as many as you, so I should take

the penalties.

Compare and order (numerator)

1 Usestripsofpapertorepresentthefractionsandcomplete

thesentences.

a) 13,

15

and 16

Thesmallestfractionis Thegreatestfractionis

b) 23,

25

and 26

Thesmallestfractionis Thegreatestfractionis

c) 33,

35

and 36

Thesmallestfractionis Thegreatestfractionis

d) Whatdoyounoticeaboutyouranswers?

e) Completethesentence.

Whenthe arethesame,the

thedenominator,the thefraction.

2 a) Colourthebarmodelstocompare 34

and 610

b) Write<,>or=tocompletethestatement.

3 Whichisthegreatestfraction?Circleyouranswer.

3100

31000

3500

Howdoyouknow?

4 Write<or>tocomparethefractions.

a) 17

19 d) 11

12 11

11

b) 45

47 e) 19

5 196

c) 313

38 f) 107

53 107

40

©WhiteRoseMaths2019

5 Explainhowcanyoucompare 23

and 45

usingthesame

numeratorrule.

Completethesentencetocompare 23

and 45

isgreaterthan

6 Scottscored20outof24inagame.

Daniscored5outof7

Comparetheirscores.

Explainwhoyouthinkdidbestandwhy.

©WhiteRoseMaths2019

7 Write<,>or=tocompleteeachstatement.

a) 25 11

3 b) 25

611 c) 32

3 11

4

125 1

3 125

3 611 112

9 101

3

125 11

3 325

3 611 111

9 100

8

125 12

3 125

3611 273

4 111

3

8 Explainhowyouknowwhenitisbesttocomparethenumerators

ordenominatorsoftwofractions.

Add and subtract fractions (2)

1 Amirisusingfractionstripstoworkout 23

+ 14

Amirsaysheneedstofindacommondenominator.

a) CompleteAmir’smethod.

23

=12

14

=12

23

+ 14=

12 + 12 = 12

b) Showtheadditiononthefractionstrip.

c) Couldyouhaveusedadifferentdenominator?

2 Whatcommondenominatorcanyouusetoaddthefractions?

a) 25

+ 12

Commondenominator=

b) 23

+ 45

Commondenominator=

c) 78

– 14

Commondenominator=

d) 79

– 16

Commondenominator=

e) 1115

+ 310

Commondenominator=

3 RonandEvaareworkingout 14

+ 56

Ron’s method Eva’s method

a) WhatisthesameaboutRon’sandEva’smethods?

b) Whatisdifferentabouttheirmethods?

c) Whichmethoddoyouprefer?Why?

©WhiteRoseMaths2019

14 + 5

6 = 312 + 10

12 = 1312

14 + 5

6 = 624 + 20

24 = 2624

4 Completethecalculations.

a) 15

+ 34

= c) 12

– 17

=

b) 78

– 13

= d) 1118

+ 712

=

5 Moisdrawingjumpsonanumberline.

Thejumpsarethesamesize.

a) Whatisthesizeofthejump?

b) WhatisthevalueofA?

6 Completethebarmodel.

518

16

59

©WhiteRoseMaths2019

7 Completetheadditions.

Giveyouranswersasmixednumbersandasimproperfractions.

a) 45

+ 54

= = c) 98

+ 89

= =

b) 23

+ 32

= = d) = = 53

+ 35

Whatpatternsdoyounotice?

8 Lookattheseadditions.

a) Whendoesthispatternfirstgiveananswergreaterthan2?

b) Doyouthinkthepatternwillevergiveananswergreater

than100?

15

13

A12

+ 13

= 12

+ 13

+ 14

= 12

+ 13

+ 14

+ 15

=

3 Workoutthemissingfractions.

a)3

13

10

b)

4 Completethecalculations.

a) 25

+ 15

+ =1

b) 25

+ 15

+ =112

c) 25

+ 15

+ = 43

d) 45

= – 45

Mixedadditionand subtraction

1 Workoutthecalculations.

a) 25

+ 34=

b) 214

– 23

=

c) 3 710

–214

=

2 Completethecalculation.

56

+129

– 12

=

©WhiteRoseMaths2019

18

116

14

5 Whichofthesearetrueandwhicharefalse?

Canyoudecidewithouthavingtodotheadditionsor

thesubtractions?

Talkaboutyourreasonswithapartner.

Trueorfalse?

213

+334

is equal to 313

+234

334

– 13

is less than 434

–113

334

–213

is equal to 313

–234

6 Completetheadditiongrid.

114

14

125

1 320

1 150

13

100

=335

=3 39100

=5 920

=

=

=

©WhiteRoseMaths2019

7 Apainterusesthefollowingmixtures.

Howmuchmoregreenpaintdoesshehavethanpurplepaint?

8 EvaandAmirareworkingoutthiscalculation.

FindAmir’ssolution.Explainhowthiscalculationcanbesolved.

14

+ 25100

– 28

– 936

This is going to be very difficult, because

I can’t find a common denominator.

I have found an easier way.

14 l

23 l3

5l 1

5l

purple

paint

green

paint