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\\January 6, 2024 6:03 PM Bharat Arora P-2 Reader _________________________ Date: ___________________74

Encapsulate
math
Fractions

Fraction Fraction of a collection Equivalent Fraction

Numerator of shaded part Numerator Half of a collection: To 1 2 4
Fraction = = find half of a collection, Example: = = are
Total number of parts Denominator we divide it by 2. 2 4 8
Numerator one-third of a equivalent fractions.
3 collection: To find one-
Horizontal 4 third of a collection, we
line
divide it by 3.
Denominator one-fourth of a
collection: To find one-
fourth of a collection, we
divide it by 4.
Fractions of a region

Halves Thirds Fourths simplest form of a Fraction

÷
÷
Example: 36 36 3 12 3 4
=
=
=
÷
÷
Two halves make Three one-thirds Four-fourths 45 45 3 15 3 5
a whole. make a whole. make a whole. 4 is the lowest form of 36 .
5 45
addition and subtractions of Fractions types of Fractions
For like fractions: Unit fractions: 1 1 1 , etc.
,,
Sumof numerators 3 9 12
Addition of fractions =
Commondenominator Proper fractions: 1 2 4 11 , etc.
,, ,
+
E.g., 2 + 1 = 21 = 3 2 3 7 13
4 4 4 4 Improper fractions: 4 5 11 19 , etc.
,,
,
Differenceof numerators 3 2 7 8
Subtraction of fractions = Mixed fractions: 3 1 8 5 , etc.
Commondenominator 2 , 3 , 7 11 5 , 9
4
7
−
8 3 83 5 1
2 1 4 5
E.g., − = = = Like fractions: ,, , , etc.
10 10 10 10 2 7 7 7 7
Unlike fractions: 1 2 4 5 , 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
73
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
130 Mathematics-4