Look for common factor from both numerator and denominator and cancel them out… …Continue doing...
14
Look for common factor from both numerator and denominator and cancel them out… …Continue doing that until no common factor is shared between numerator and denominiator 5 2 15 6 30 12 Or another way is to break both numerator and denominator into prime factors; Then cancel out common prime factors: Simplify Fraction Found Common factor 2: 6X2 15X2 Found Common factor is 3: 2X3 3X5 5 2 5 3 2 3 2 2 30 12
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Transcript of Look for common factor from both numerator and denominator and cancel them out… …Continue doing...
Look for common factor from both numerator and denominator and cancel them out…
…Continue doing that until no common factor is shared between numerator and denominiator
52
156
3012
Or another way is to break both numerator and denominator into prime factors; Then cancel out common prime factors:
Simplify Fraction
Found Common factor 2:
6X2
15X2
Found Common factor is 3:
2X3
3X5
52
532322
3012
d
nda
d
na
Mixed Fraction
7
17
7
372
7
32
Both Fraction requires to have the same denominator. Then their numerator are added or subtracted and keep the denominator
Addition and Subtraction
acb
ac
ab a
cbac
ab
53
512
51
52
51
512
51
52
If denominator are not the same, you have to make them the same first by multiplying both numerator and denominator by a same number:
64
63
61
3231
61
21
61
352
355
357
5751
7571
71
51
dacb
dc
ab
Numerators multiply
Denominators multiply
ac
db
dc
ab
db
ac
3221
8473
87
43
274
9341
94
31
Swap Numerators
Swap Denominators
21
42
42
33
43
32 1
21
42
33
42
43
32 1
First, numerator can cancel denominator in any fraction …
…Then all remained numerators multiply and all remained denominators multiply respectively
hadg
hd
cg
be
fc
ef
ab
8827
81193
49
54
75
87
113
49
54
75
87
113
? hd
cg
be
fc
ef
ab
Another way, All numerators and denominators can be broken down into factors;
Then common factors are cancelled
Common factor from numerator and denominator can be cancelled across factions:
43
223
710
1514
69
83
3X5
2X52X7
2X2X2 2X3
3X3
43
752
5372
3233
2223
710
1514
69
83
cadb
cd
ab
dc
ab
DivisorTurn divisor upside down and multiply instead
2824
7483
78
43
87
43
cadb
dc
ab
Or another way:
2824
7483
87
43
1. Same denominator, the faction with larger numerator is larger
157
159
Comparing Fraction
2. Same numerator, the faction with smaller denominator is larger
93
53
1. Make them both has the same denominator first, and then compare them
157
53 ?
Comparing Fraction
157
159
3533
2. Make them both has the same numerator first, and then compare them
31
53 ?
3331
93
53
3. Move denominator to the other side to become numerator, and then compare them
31
53 ?
3X3 ? 1 X 59 ? 5
9 > 5
31
53
1022.0
Decimals
1001212.0
102132.13
100121312.13
10020
1002020.02.0
Addition and subtraction needs to line up decimal points. Sometimes, 0s need to be added at the end
0.25+ 5.73 5.98
0.20+ 5.73 5.93
1022.0
Decimals
1001212.0
102132.13
100121312.13
10020
1002020.02.0
Addition and subtraction needs to line up decimal points. Sometimes, 0s need to be added at the end
0.25+ 5.73 5.98
0.20+ 5.73 5.93
percentage
100
13%13
Percentage means the number has denominator of 100
Comparison among Fraction, Decimals and Percentage
4
1
100
25%25
Normally convert them into fraction and then compare them:
25X4
3
1 0.50 25%
2
1
100
50
50X2
50X1
Compare them!
Comparison among Fraction, Decimals and Percentage
When it’s not obvious to convert them into fraction, convert them all into decimal points and them compare them.
7
1 0.15 16%
Compare them!
=0.16...157.071
