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8/14/2019 04 Pri WB Math P5.pdf
1/8
Mathematics Pratomsuksa 5 Chapter 4 Notes
26
Equivalent fractionsEquivalent fractions are fractions of the same value.
Example:
13
= 26
= 39
To nd the equivalent fractions of a fraction, multiply or divide both thenumerator and the denominator of the fraction by the some number.
Example: 23
= 46
= 812
;
2 2
2 2
3648 = 9
12 = 3
4
4 3
4 3
Comparing fractions
Example:
13
23
smallernumerator
samedenominator
greaternumerator
,
Example: 13
14
smallerdenominator
samenumerator
greaterdenominator
.
4 F r a c t i o n s
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Mathematics Pratomsuksa 5 Chapter 4 Notes
27
Example:
34
58
differentdenominators
differentnumerators
68
.
58
greaternumerator
denominatorsequalized
smallernumerator
Simplest forms of fractions
1. The simplest form of a fraction is its equivalent fraction with anumerator and a denominator that are not commonly divisible byany whole number other than 1.
47
, 12
, 1317
and 521
are examples of simplest forms of fractions.
Fractions equivalent to whole numbers
1. A fraction that has the same numerator and denominator isequivalent to 1.
22
= 33
= 1212
= 1515
= 1
2. Fractions with numerators that are divisible by their denominators areequivalent to whole numbers.
42
= 2, 93
= 3, 164
= 4, 105
= 2, 3010
= 3
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Mathematics Pratomsuksa 5 Chapter 4 Notes
28
Proper fractions and improper fractions 1. Proper fractions have numerators that are smaller than their
denominators.
23
, 45
, 79
, and 1013
are examples of proper fractions.
2. Improper fractions have numerators that are equal to or greaterthan their denominators.
42
, 33
, 75
, and 116
are examples of improper fractions.
Mixed numbers 1. Mixed numbers consist of whole numbers and proper fractions.
1 12
, 5 35
and 10 710
are examples of mixed numbers.
2. To convert a mixed number to an improper fraction, multiply thewhole number by the denominator and add the product to thenumerator. Maintain the denominator.
Example: 2 35
= (2 5) + 35
10 + 3 = 5 13 = 5
3. To convert an improper fraction to a mixed number, divide thenumerator by the denominator. Then, write the quotient as thewhole number, the remainder as the numerator and the divisor asthe denominator of the mixed number.
Example: 13 = 13 8 8
= 1 58
18 13 8 5
denominator
whole number
numerator
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Mathematics Pratomsuksa 5 Chapter 4 Exercises
29
A Fill in the correct numbers to show the equivalentfractions.
1. 2.
24
=1
2
23
= 46
3. 4.
6
8 =34
45
= 810
B Fill in the correct numbers in the blanks.
1.3 60 =
4 80
2. 1 7 = 6 42
3. 7 70 = 12 120
4. 12 4 = 18 6
5. 8 2 = 20 5
6. 70 7 = 100 10
7.3 9 27 = =
5 15 45
8.4 20 40 = =
7 35 70
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Mathematics Pratomsuksa 5 Chapter 4 Exercises
30
C Fill in the symbol > or < in the boxes.
1. 37
39
> 2. 18
58
5. 231
235
> 6. 442
842