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.

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411 × 2 = 8

22

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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