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Improper to mixed numbers
1 Converttheimproperfractionstomixednumbers.
a)
85
=
b)
5 =
c)
=
d)
=
2 Shadethebarmodelstorepresenteachimproperfraction.
Converttheimproperfractionstomixednumbers.
a)
73
=
b)
83
=
c)
94
=
d)
114
=
©WhiteRoseMaths2019
©WhiteRoseMaths2019
3 Converttheimproperfractionstomixednumbers.
a) 102 = e) 12
5 =
b) 103 = f) 13
6 =
c) 104 = g) 13
7 =
d) 105 = h) 31
8 =
4 Evahas7bottlesofjuice.
Eachbottlecontainshalfalitreofjuice.
HowmanylitresofjuicedoesEvahavealtogether?
Writeyouranswerasamixednumber.
5 Dexterisconvertingimproperfractions.
ExplainwhyDexterisincorrect.
6 Findthevalueof
=
7 Findtwopossiblevaluesforand
= =
= =
323
= 3 23
12 l
12 l
12 l
12 l
12 l
12 l
12 l
27=
2
30=
2
Mixed numbers to improper fractions
1 Convertthemixednumberstoimproperfractions.
a)
b)
c)
2 Convertthemixednumberstoimproperfractions.
Colourthebarmodelstohelpyou.
a)
2
14
=
b)
2
13
=
c)
3
13
=
d)
3 25
=
©WhiteRoseMaths2019
2 34
= 4
2 38
= 8
3 38
= 8
©WhiteRoseMaths2019
3 Convertthemixednumberstoimproperfractions.
Writethenextconversionineachpart.
a) 217= c) 51
2=
227= 51
4=
237= 51
8=
= =
b) 315=
415=
515=
=
Talktoapartneraboutanypatternsyouspot.
4 Hereare4wholepizzasand35
ofapizza.
Howmanychildrencanhave 15
ofapizza?
5 Whitneyisconvertingmixednumberstoimproperfractions.
DoyouagreewithWhitney?
Explainyouranswer.
6
35=
5
Thetableshowssomepossiblevaluesofthecircle.
Usethistofindthecorrespondingvalueofthetriangle.
1
2
4
8
16
88
803
4 17 = 28
7