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\\September 11, 2024 12:14 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74

Encapsulate
math
FrACtiOnS

Fraction Fraction of a Collection equivalent Fraction

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

1 1 1 1 1 1 1 1
Addition and Subtractions of Fractions
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
÷
÷
+ = example: 36 36 3 12 3 4
=
=
=
÷
÷
2 + 1 = 3 45 45 3 15 3 5 36
4 4 4 4 is the lowest form of .
5 45
Differenceof numerators
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.
7 7 7 7
10 1 2 4 5
Unlike fractions: ,, , , etc.
8 9 10 7
Comparing and Ordering Fractions
Conversions: improper and Mixed Fractions
In like fractions, the fraction with bigger numerator is greater.
7 1 3 Converting improper to mixed fraction:
E.g., the fractions ,, , arranged in descending order as:
8 8 8 3 7 2 Quotient
7 E.g., 7 =÷ 6 7 = 2 1
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8 3 1 3 3
1 7 3 1 Remainder
8 8 > 8 > 8 Divisor
3 Converting mixed fraction to improper fraction:
8 3 + 3 ( 51) 3 53 8
+
×+
E.g., 1 = 1 = = =
5 × 5 5 5 5
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