Fractions,decimalsandpercentages
Thisactivityisaboutconvertingbetweenfractions,decimalsand
percentages.
Informationsheet
Convertingbetweendecimalsandfractions
Tochangeadecimaltoafraction:usetheplacevalueofthelastdigit
÷5
Forexample 85 = 17 0.85= 100
20
÷5
hundredths
Onacalculatorpress:85 a b c 100=
Tochangeafractiontoadecimal:dividethetopbythebottom
Forexample 4 =4÷5=0.8
5
Convertingbetweenpercentagesandfractionsordecimals
Towritea%asafractionordecimal:divideby100
Forexample 64%=64÷100=0.64
or 64 = 16 64%= 100
25
Onacalculatorpress:64 a b c 100=
Towriteadecimalorfractionasa%:multiplyby100
Forexample 0.125=0.125×100=12.5%
25 = 25 ×100(i.e. 25 of100%)=40%
or
25 =2÷5×100=40%
Onacalculatorpress:2 a b c 5×100=40%
Trythese
1 Writethesedecimalsasfractions:
0.3=………….
0.5=………….
0.6=………….
0.02=………….
0.25=………….
0.36=………….
0.125=………….
0.05=………….
2 Writethesefractionsasdecimals:
7
10 =……………….
1 =……………….
5
2 =……………….
5
3
4 =…………………
2 =……………….
3
9 =……………….
20
7
25 =…………………
30%=………….
25%=………….
80%=………….
12%=………….
67%=………….
17.5%=………….
7
8 =……………….
3 Writethesepercentagesasdecimals:
3%=………….
8%=………….
4 Writethesepercentagesasfractions:
20%=………….
75%=………….
5%=………….
30%=………….
15%=………….
24%=………….
35%=………….
0.5=………….
0.7=………….
0.07=………….
0.09=………….
0.4=………….
0.375=………….
1 =………….
5
9
10 =………….
3
4 =………….
17 =………….
20
1 =………….
3
2 =………….
3
40%=………….
5 Writethesedecimalsaspercentages:
0.25=………….
0.45=………….
6 Writethesefractionsaspercentages:
1
10 =………….
4 =………….
5
Fractions,decimalsandpercentages
Fractionstodecimalstopercentages
Completethistable.
Fraction
1
10
1
5
3
10
2
5
1
2
3
5
7
10
4
5
9
10
1
4
3
4
Decimal
Percentage
Fillthegapsinthetable.
Percentage
Fraction
Decimal
0.2
3
10
0.5
3
5
0.8
9
10
3
4
10%
40%
70%
25%