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Multiply unit fractions by an integer 1 Complete the calculations. Use the bar models to help you. a) 1 5 + 1 5 + 1 5 = 1 5 = b) 1 7 + 1 7 + 1 7 + 1 7 = 1 7 = c) 1 8 + 1 8 + 1 8 + 1 8 + 1 8 = 1 8 = d) 1 10 + 1 10 + 1 10 + 1 10 + 1 10 + 1 10 + 1 10 = 1 10 = 2 Complete the multiplications. a) 1 8 = e) 1 5 ×4= b) 1 10 = f) 1 9 ×8= c) 1 8 ×5= g) 1 11 = d) 1 10 = h) 1 11 × 10 = 3 Match the addition to the equivalent multiplication. 1 3 + 1 3 1 5 1 5 + 1 5 + 1 5 1 4 ×3 1 5 + 1 5 1 5 1 4 + 1 4 + 1 4 1 3 © White Rose Maths 2019
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Multiply unit fractions by an integer - White Rose Maths · 2020-05-07 · Multiply non-unit fractions by an integer 1 Complete the calculations. Use the bar models to help you. a)

Jun 07, 2020

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Page 1: Multiply unit fractions by an integer - White Rose Maths · 2020-05-07 · Multiply non-unit fractions by an integer 1 Complete the calculations. Use the bar models to help you. a)

Multiply unit fractions by an integer

1 Completethecalculations.

Usethebarmodelstohelpyou.

a)

15

+ 15

+ 15= 3× 1

5=

b)

17

+ 17

+ 17

+ 17= 4× 1

7=

c)

18

+ 18

+ 18

+ 18

+ 18= 5× 1

8=

d)

110

+ 110

+ 110

+ 110

+ 110

+ 110

+ 110= 7× 1

10=

2 Completethemultiplications.

a) 3× 18= e) 1

5×4=

b) 3× 110= f) 1

9×8=

c) 18

×5= g) 8× 111=

d) 9× 110= h) 1

11×10=

3 Matchtheadditiontotheequivalentmultiplication.

13

+ 13

2× 15

15

+ 15

+ 15

14×3

15

+ 15

3× 15

14

+ 14

+ 14

2× 13

©WhiteRoseMaths2019

Page 2: Multiply unit fractions by an integer - White Rose Maths · 2020-05-07 · Multiply non-unit fractions by an integer 1 Complete the calculations. Use the bar models to help you. a)

©WhiteRoseMaths2019

4 Apizzaiscutintosixths.

Jackeatsfiveoftheslices.

Writeamultiplicationtorepresentthis.

× =

5 Completethemultiplications.

Usethenumberlinestohelpyou.

Giveeachanswerasanimproperfractionandasamixednumber.

a)

0 1 2

6× 15= =

b)

0 1 2

9× 15= =

6 Completethemultiplications.

a) 11× 110= =

b) 11× 19= =

c) 18×11= =

d) 11× 17= =

e) 11× 16= =

Whatdoyounotice?

Doesthispatterncontinue?

7 Completethecalculations.

a) × 13= 2

3 e) 1

8× =138

b) × 13=1 f) × 1

2=312

c) × 17=1 g) × 1

3=313

d) 17× =13

7 h) 1

4× =314

Page 3: Multiply unit fractions by an integer - White Rose Maths · 2020-05-07 · Multiply non-unit fractions by an integer 1 Complete the calculations. Use the bar models to help you. a)

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

Page 4: Multiply unit fractions by an integer - White Rose Maths · 2020-05-07 · Multiply non-unit fractions by an integer 1 Complete the calculations. Use the bar models to help you. a)

©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