Page 178 - New Medley 5 Semester 1

Z Z Unlike fractions: We know that it is very convenient to compare two
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like fractions. So, we convert the given unlike fractions, say and ,
6 8
into like fractions and compare.

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We have and
6 8
5 5 × 4 20 3 3 × 3 9
LCM of 6 and 8 is 24. So, = = and = =
6 6 × 4 24 8 8 × 3 24

20 9 5 3
Thus, > , i.e., >
24 24 6 8

To change unlike fractions into like fractions, first find the LCM of
denominators of the fractions and then obtain their equivalent fractions

with the denominator as the LCM.

Alternative Method: By cross-multiplication

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or 5 × 8 3 × 6 or 40 > 18
6 8

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∴ > (The fraction whose numerator gives the greater product is
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greater.)

Z Z Mixed fractions: To compare two mixed fractions, compare the whole

number parts. The fraction having the larger whole number is the

greater fraction.
2 3 5 2 1 32
Examples: 5 > 2 , 16 < 18 , 20 > 15 , etc.
3 4 7 3 7 75

Note: If the whole number parts are the same, compare the fractional

parts using the given rules.

Z Z Proper fractions: Consider the size of pizzas left after eating two
pieces from each one.

6 4 4 6
Thus, > or < .
8 6 6 8

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