COMPARISION
OF LIKE FRACTIONS:
When
two or more like fractions are compared, the Largest fraction is the one with
the greater numerator and the Smallest fraction is the one with the smallest numerator.
Compare
the fractions and write < , > , = ;between them:
1)
9/12, 1/12, 5/12
Solution:
In
the given fractions the numerators are = 9, 1, 5.
Common
denominator = 12.
(i)Arranging
the numerators in Ascending order = 1 < 5 < 9.
Ascending order of the fractions = 1/12 < 5/12 < 9/12.
(ii)
Descending order of the numerators = 9 > 5 > 1.
Descending order of the fractions = 9/12 > 5/12 > 1/12.
2)
3/8, 1/8, 7/8
Solution:
The
numerator of the fractions are = 3, 1, 7.
Common
denominator = 8.
(i)
Ascending order of the numerators = 1 < 3 < 7.
Ascending order of the fractions = 1/8 < 3/8 < 7/8.
(ii)
Descending order of the numerators = 7 > 3 > 1.
Descending order of the fractions = 7/8 > 3/8 > 1/8.
3)
12/5 , 3/5 , 9/5, 16/5
Solution:
Numerators
of the given fractions = 12, 3, 9, 16.
Common
denominator = 5.
(i)
Ascending order of the numerator = 3 < 9 < 12 < 16.
Ascending order of
the fractions = 3/5 < 9/5 < 12/5 < 16/5.
(ii)
Descending order of the numerators = 16 > 12 > 9 > 3.
Descending order of
the fractions = 16/5 > 12/5 > 9/5 > 3/5.
4)
4/11, 2/11, 6/11, 9/11, 5/11
Solution:
Numerators
of the given fraction = 4, 2, 6, 9, 5.
Common
denominator = 11.
(i)
Ascending order of the numerators = 2 < 4 < 5 < 6 < 9.
Ascending order of
the fractions = 2/11 < 4/11 < 5/11 < 6/11 < 9/11.
(ii)
Descending order of the numerators = 9 > 6 > 5 > 4 > 2.
Descending order of the fractions = 9/11
> 6/11 > 5/11 > 4/11 > 2/11.
5)
5/7, 3/7, 2/7
Solution:
Numerators
of the given fractions = 5, 3, 2.
Common
denominator = 7.
(i)
Ascending order of the numerators = 2 < 3 < 5.
Ascending order of the fractions = 2/7
< 3/7 < 5/7.
(ii)
Descending order of the numerators = 5 > 3 > 2.
Descending order of the fractions = 5/7 > 3/7 > 2/7.
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