Fractions Review. Fractions A number in the form Numerator Denominator Or N D.
Simplify fractions 2 a) Use a fraction wall to explain why · Compare and order (numerator) 1 Use...
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Simplify fractions 1 1 1 2 1 2 1 4 1 4 1 4 1 4 1 5 1 5 1 5 1 5 1 5 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 3 1 3 1 6 1 7 1 8 1 9 1 7 1 8 1 9 1 8 1 9 1 6 1 7 1 8 1 9 1 6 1 7 1 8 1 9 1 9 1 6 1 7 1 8 1 9 1 6 1 7 1 8 1 9 1 6 1 7 1 8 1 9 1 3 Use the fraction wall to write each fraction in its simplest form. a) 4 6 = c) 6 8 = b) 8 10 = d) 4 8 = 2 a) Use a fraction wall to explain why 7 10 does not simplify. b) Find three more fractions on the fraction wall that cannot be simplified. 3 Mo, Eva and Ron are trying to simplify 5 20 Do you fully agree, partly agree or completely disagree with each person? Talk to a partner. © White Rose Maths 2019 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)'
Transcript of 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
