Page 125 - Math Genius C4

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Mind Map
math Creative Thinking
FRACTiONS

Fraction Fraction of a Collection Equivalent Fractions

Number of shaded parts Numerator 2
Fraction = = 3 of 12 apples = 8 apples 1
Total number of parts Denominator
Numerator 1 1
3
Horizontal 4 2 2
line 1 1 1 1
Denominator 4 4 4 4

Addition and Subtractions of Fractions 1 1 1 1 1 1 1 1
8 8 8 8 8 8 8 8
For like fractions: 1 2 4 are
Sumof numerators 2 = 4 = 8
Addition of fractions =
Commondenominator equivalent fractions.
+
E.g., 2 + 1 = 21 = 3 Simplest Form of a Fraction
4 4 4 4
+ = 36 36 3 12 3 4
÷
÷
Example: = = =
÷
÷
2 + 1 = 3 45 45 3 15 3 5
4 4 4 4 is the lowest form of 36 .
Differenceof numerators 5 45
Subtraction of fractions =
Commondenominator Types of Fractions
−
8 3 83 5 1
E.g., − = = =
10 10 10 10 2 Unit fractions: 1 1 1 , etc.
,,
8 3 9 12
10 Proper fractions: 1 2 4 11 , etc.
,, ,
2 3 7 13
Improper fractions: 4 5 11 19 , etc.
,
,,
3 2 7 8
3
1
Mixed fractions: 2 , 3 , 7 8 5 , 5 , etc.
7 4 11 9
2 1 4 5
3 Like fractions: ,, , , etc.
10 7 7 7 7
Unlike fractions: 1 2 4 5 , etc.
,,
,
Comparing and Ordering Fractions 8 9 10 7
In like fractions, the fraction with the bigger numerator is greater. Conversions: improper and Mixed Fractions
7 1 3
E.g., the fractions ,, , arranged in descending order Converting improper fraction to mixed fraction:
7 3 1 8 8 8
as: > > 3 7 2 Quotient
8 8 8 E.g., 7 6 7 = 2 1
73
3
In unlike fractions with the same numerator, the fraction with 3 =÷ 1 Remainder 3
the greater denominator is smaller. Divisor
4 4 4 Converting mixed fraction to improper fraction:
E.g., the fractions ,, , arranged in ascending order as:
+
3
×+
4 < 4 < 4 5 7 6 E.g., 1 = 1 + 3 = ( 51) 3 53 8
=
=
7 6 5 5 × 5 5 5 5
Mathematics-4 123