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Multiply non-unit fractions by an integer
1 Completethecalculations.
Usethebarmodelstohelpyou.
a)
27
+ 27
+ 27
= 3× 27=
b)
310
+ 310
+ 310
= 3× 310=
c)
29
+ 29
+ 29
+ 29= 4× 2
9=
d)
49
+ 49= 2× 4
9=
Whatdoyounoticeaboutpartsc)andd)?Talktoapartner.
2 Completethemultiplications.
a) 2× 37= d) 5× 2
11=
b) 3× 311= e) 2
15×7=
c) 211
×4= f) 715
×2=
3
ExplainthemistakethatAlexhasmade.
4 Acateats2
15ofabagofbiscuitsaday.
Whatfractionofthebagdoesthecateatin4days?
Thecateats ofthebagin4days.
©WhiteRoseMaths2019
411 × 2 = 8
22
©WhiteRoseMaths2019
5 Completethemultiplications.
Usethenumberlinestohelpyou.
Giveeachanswerasanimproperfractionandasamixednumber.
a)
0 1 2 3
3× 34= =
b)
0 1 2 3
4× 35= =
c)
0 1 2 3
3× 45= =
6 Completethemultiplications.
a) 5×23= =
b) 4× 45= =
c) 27×11= =
d) 4× 79= =
e) 17× 211= =
f) Describethepatternyoucanseeintheanswers.
g) Whatcouldthenextmultiplicationinthepatternbe?
Writetwopossibleoptions.
7 Herearesomedigitcards.
Usethedigitcardstocompletethemultiplication.
×8
= 158
= 8
1 3 5 7
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