Equivalent fractions (1)
1 Shadethebarmodelstorepresentthefractions.
a) Shade 12ofthebarmodel.
b) Shade 24
ofthebarmodel.
Whatdoyounotice?
2 Completetheequivalentfractions.
a)
12
=8
b)
14
= 2
c)
34
= 6
3 Shadethebarmodelstorepresenttheequivalentfractions.
a)
13
= 26
b)
23
= 46
c)
13
= 39
d)
23
= 69
Canyoufindanymoreequivalentfractionsusingthe
barmodels?
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6 Thebarmodelsrepresentfractions.
A C
B D
Whichistheoddoneout?
Whydoyouthinkthis?
7 Thisbarmodelrepresents 34
Tickthebarmodelsthatcanbeusedtoshowafraction
thatisequivalentto 34
Shadethebarmodelstosupportyouranswers.
Talktoapartneraboutyouranswers.
4 Matcheachbarmodeltoitsequivalentfraction.
12
13
14
18
5 Shadethebarmodelstocompletetheequivalentfractions.
a)
12
=12
b)
13
=12
c)
16
=12
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Equivalent fractions (2)
1 Shadethebarmodelstorepresentthefractions.
a) Shade 12ofthebarmodel.
12
10
b) Shade 24ofthebarmodel.
12
10
c) Shade 36ofthebarmodel.
12
10
d) Whatdoyounotice?
e) Writeanotherfractionthatisequivalentto 12
2 Shade 23
ofeachbarmodel.
a)
23
13
10
b)
23
13
10
c)
23
13
10
d) Useyouranswerstopartsa),b)andc)tocompletethe
equivalentfractions.
23
=6
= 8 =15
©WhiteRoseMaths2020
5 Hereisanumberline.
a) Whatfractioniseachshapepointingto?
= =
b) Acircleishalfwaybetweenthetriangleandthesquare.
Drawthecircleonthenumberline.
c)
DoyouagreewithEva?
Showhowyouworkedthisout.
d) Writethreeequivalentfractionsforeachshape.
Compareanswerswithapartner.
3 Moisfindingequivalentfractions.
35
45
15
25
10
35
45
15
25
10
DoyouagreewithMo?
Explainyouranswer.
4 Findthemissingnumbers.
a)
b)
©WhiteRoseMaths2020
68 is equivalent to
45
17
37
47
214
414 14
814
0
01414
15
25
35
45
55
65
15 15
0
0
9
0 1
The circle is
pointing to 921
Equivalent fractions (3)
1 Shadetheshapestohelpyoucompletethe
equivalentfractions.
a)
13
=
b)
12
=
c)
34
=
d)
34
=
2 Usethefractionwalltocompletetheequivalentfractions.
13
13
13
16
16
16
16
16
16
19
19
19
19
19
19
19
19
19
a) 13
=6
d) 23
= 6
b) 13
=9
e) 46
= 6
c) 23
= 4 f) 13
=6
=9
3 Drawapicturetoshowthatonequarterisequivalentto
twoeighths.
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5 a) Whatfractionofeachshapeisshaded?
b) Usethefractionsinparta)tocompletethesentences.
isequivalentto
isequivalentto
isnotequivalentto
isnotequivalentto
Compareanswerswithapartner.
6 Thebarmodelrepresents 12
Writeasmanyequivalentfractionsasyoucan.
Whatisthesameaboutallthefractionsyouhavewritten?
4 Usethefractionwalltodecidewhetherthefractionsare
equivalentornot.
12
12
14
14
14
14
15
15
15
15
15
110
110
110
110
110
110
110
110
110
110
Completethesentencesusingisoris not.
a) 12
equivalentto 24
b) 14
equivalentto 210
c) 12
equivalentto 510
d) 310
equivalentto 25
e) 45
equivalentto 810
f) 34
equivalentto 45
Writesomesentencesofyourownandaskapartnerto
fillinthegaps.
©WhiteRoseMaths2020
Compare fractions
1 Write<,>or=tocomparethefractions.
Usethebarmodelstohelpyou.
a)
58
38
b)
58
78
c)
510
710
2 Write<,>or=tocomparethefractions.
a)15
35 d)
67
27
b)25
25 e)
613
1213
c)27
67 f)
1315
1315
3 Herearesomebarmodels.
12
13
14
15
a) Shadethebarmodelstorepresentthefractions.
b) Write<or>tocomparethefractions.
Usethebarmodelstohelpyou.
12
13
14
13
15
13
13
12
14
15
15
12
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6 Sortthefractionsintothecircles.
56
18
12
26
112
36
7 Completethesentencesusingthewordbank.
numerator denominator greater smaller
a) Whenfractionshavethesamedenominator,thegreater
the ,the thefraction.
b) Whenfractionshavethesamenumerator,thegreaterthe
,the thefraction.
4 Whatcouldthemissingnumeratorsanddenominatorsbe?
Givethreeexamplesforeach.
a) 15
<5
15
<5
15
<5
b) 15
< 1 15
< 1 15
< 1
5 Jackiscomparingfractions.
DrawbarmodelstoshowthatJackiswrong.
©WhiteRoseMaths2020
18 is greater than
14
because 8 is greater than 4
greaterthan 16
lessthan 16
