Comparison of Like Fractions
In comparison of like fractions here are some rectangular figures.
(i)
In (i) shaded portion represents 2/7
(ii)
In (ii) shaded portion represents 3/7
(iii)
It is clear that 2/7 < 3/7 < 5/7
or 5/7 > 3/7 > 2/7
Thus, in like fractions or fractions having same denominator, that fraction is greater which has the greater numerator.
Accordingly, 3/5 > 2/5; 2/5 < 3/5
15/17 > 10/17; 10/17 < 15/17
If
there are three or more like fractions, they may be arranged in
ascending (increasing) and descending (decreasing) order. The order will
be according to the order of the numerators.
(a) Ascending order: 1/9, 2/9, 3/9, 4/9, 5/9, 7/9, 8/9:
as, 1 < 2 < 3 < 4 < 5 < 7 < 8
(b) Descending order: 8/9, 7/9, 5/9, 4/9, 3/9, 2/9, 1/9:
as, 8 > 7 > 5 > 4 > 3 > 2 > 1
Similarly again;
(a) Ascending order: 5/17, 7/17, 8/17, 11/17, 13/17, 14/17, 16/17:
as, 5 < 7 < 8 < 11 < 13 < 14 < 16
(b) Descending order: 16/17, 14/17, 13/17, 11/17, 8/17, 7/17, 5/17:
as, 16 > 14 > 13 > 11 > 8 > 7 > 5
Related Concept
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● Conversion of Fractions into Fractions having Same Denominator
● Conversion of a Fraction into its Smallest and Simplest Form
● Addition of Fractions having the Same Denominator
● Subtraction of Fractions having the Same Denominator
● Addition and Subtraction of Fractions on the Fraction Number Line
4th Grade Math Activities
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