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