Fractions as operators

1 a) Workout 13

×6

13

×6=3

=

b) Workout 13

of6 6

13

of6= ÷ =

c) Whatisthesameaboutthesecalculations?

d) Workout 23

of6

23

of6= ÷ ×2=

e) Workout 23

×6

23

×6= =

2 Completethecalculations.

a) 13

×12= c) 12× 23

=

13

of12= 23

of12=

b) 12× 14

= d) 34

×12=

14

of12= 34

of12=

Whatdoyounotice?

3 Tickthecalculationineachpairthatiseasiertoworkout.

a) 15

×7 15

of7

b) 15

×10 15

of10

c) 35

×10 35

of10

d) 310×5 3

10of5

Compareanswerswithapartner.

©WhiteRoseMaths2019

©WhiteRoseMaths2019

4 Completethecalculations.

a) 56

×12= of12=

b) 34

×24= of24=

c) 27

× = of28=

d) ×45= 45

of =

5 Abarofchocolatehas5equalpieces.

Thewholebarweighs120g.

Howmuchdothreepiecesweigh?

a) Writetwocalculationsthatwillgivetheanswertotheproblem.

b) Workouttheanswer.

Threepiecesofchocolateweigh

6 TeddyandAnnieareworkingout 37

×42

a)

UseTeddy’smethodtoworkoutthecalculation.

b)

UseAnnie’smethodtoworkoutthecalculation.

c) Whosemethoddoyouprefer?

Explainwhy.

d) Whenisiteasiertofindfractionsofamountsratherthan

multiplyfractions?

Givesomeexamplesforeachmethod.

Annie

Teddy

I will find 37 of 42

I will multiply 42 by 37

120g