Unit 1
Lesson 1
Ways to express
3
5
Proper fraction
3<5
Numerator is smaller than
denominator
6
3
Mixed number
7 Fraction
Whole
number
number
Percentage
45%
11
3
Improper fraction
11>3
Numerator is bigger than
denominator
Decimal Number
0.56 / 0 56
Decimal point
Percentage Symbol
Fraction to decimal
Rewrite a fraction as a decimal
ALSO: Convert from a fraction to a decimal
3
3 : 5 0. 6
5
5
5 : 6 0.8333... 0.83
6
13
13 : 9 1.444... 1.4
9
3
8
Fraction to percentage
Rewrite a fraction as a percentage
ALSO: Convert from a fraction to a percentage
3
5
1
9
5
4
2
5
3
3 100
100
60 60%
5
5
1
1 100
100
11.11... 11.1%
9
9
5
5 100
1 00
125 125%
4
4
Decimal to percentage
Rewrite a decimal as a percentage
ALSO: Convert from a decimal to a percentage
0.45
0.3
0.45 100
0.3 100
1.1525
0.75
45%
33.3%
1.1525 100
115.25%
Mixed number to fraction
Rewrite a mixed number as an improper fraction
ALSO: Convert from a mixed number to an improper
fraction
5
2
3
1
1
4
1
5
2
3
2
5
5
2
3
1
1
4
1
5
2
2 3 5
11
3
3
1 4 1
5
4
4
5 2 1 11
2
2
Improper fraction to mixed
number
Rewrite an improper fraction as a mixed number
ALSO: Convert from a improper fraction to a mixed
number
25
7
7
4
11
6
4
25 7
3
4 3
7
3
7 4
1
3 1
4
Percentage to fraction
Rewrite a percentage as a fraction
ALSO: Convert from a percentage to a fraction
50 1
50%
100 2
65 13
65%
100 20
10.5
10.5%
numerator must be a whole number
100
20%
10.5 10
100 10
105
1000
21
200
Fractions and diagrams
Represent a fraction graphically or vice-versa
7
8
proper
13
5
improper
5
8
__________?
Decimal to fraction/Method1
Rewrite a decimal as a fraction
ALSO: Convert from a decimal to a fraction
Terminating decimal numbers
0.65
65
100
13
20
;
3.104
3104
1000
388
125
Recurring/Repeating decimal numbers
3( 0) 1
51 5 46
0. 3
; 5.1
9
3
9
9
14( 0) 14
36125 36
0.14
; 36.125
99
99
999
36089
999
Decimal to fraction/Method1
Rewrite a decimal as a fraction
Mixed Recurring/Repeating decimal numbers
25( 0) 5
0. 25
90
18
375 3 372 62
0.375
990
990 165
8004 800 1801
8.004
900
225
61312 613 20233
6.1312
9900
3300
Decimal to fraction/Method2
Rewrite a decimal as a fraction
Terminating decimal numbers
x
0.65 ;
100 x
65 ;
x
65
100
Recurring/Repeating decimal numbers
10 x
x
0. 3 ;
10 x
3.3 ;
Subtracting
3. 3
x 0. 3
9x 3
;
x
3
9
1
3
;
x
100 x 14.14
x
0.14 ;
100 x 14.14 ;
Subtracting
x 0.14
99 x 14
14
99
Decimal to fraction/Method2
Rewrite a decimal as a fraction
Mixed Recurring/Repeating decimal numbers
100 x
x
0.25 ; subtracting
25.5
10 x 2.5
90 x 23
1000 x
x
8.004 ; subtracting
;
x
23
90
8004.4
100 x 800.4
900 x 7204
;
x
7204
900
1801
225
Clip films or games
1.
Fraction → Decimal
http://www.mathplayground.com/fractions_convert.html
2. Fraction → Percentage
http://www.mathplayground.com/howto_perfracdec.html
3. Decimal → Percentage
http://www.mathplayground.com/howto_perfracdec.html
4. Mixed number → Fraction
http://www.mathplayground.com/fractions_mixed.html
5. Fraction → Mixed number
http://www.mathplayground.com/fractions_improper.html
6. Percentage → Fraction
http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/percentages/percentageparts/flash2
.shtml
7. Diagram ↔ Fraction