Percentages as fractions and decimals

1 Herearefourhundredsquares.

A C

B D

Completethetable.

Hundredsquare

Percentage Fraction Decimal

A52

100

B

C

D

2

Provethat0.2isequalto20%.

Youmayusethehundredsquaretohelpyou.

Whydoyouthinksomepeoplethinkthat0.2isequalto2%?

3 Completethefraction,decimalandpercentageequivalents.

a) 32%=100

=

35%=100

=

48%=100

=

b) 17100

= %=

9100

= %=

90100

= %=

©WhiteRoseMaths2019

c) 0.29= %=100

0.71= %=100

0.03= %=100

©WhiteRoseMaths2019

4 Write<,>or=tocompletethestatements.

a) 50%5

100 d)40

100 40%

b) 25%50100 e)

70100 7%

c) 14%41100 f) 82%

82100

5 Writethevaluesinorderfromsmallesttogreatest.

a) 33%301003%

13100

b) 299%911009%

910

c) 2.52510025025%of100

251000

6 Convertthefractionstohundredths.

Completethedecimalandpercentageequivalents.

a) 150300=

100= = %

b) 25500=

100= = %

c) 48300=

100= = %

d) 1850=

100= = %

e) 1325=

100= = %

7 Circleallthefractionsthataregreaterthanorequalto50%.

1050

45

50100

3080

150

70140

8 JackandDoragoshoppingwiththesameamountofmoney.

Jackspends13ofhismoney.

Doraspends30%ofhermoney.

a) Whospendsmoremoney?

Usefractionandpercentageequivalencetoexplain

youranswer.

b) JackandDoraeachstartedwith£300

Howmuchmoneydotheyeachhaveleft?

Jack Dora