Page 191 - Math Smart - 7

Comparing and ordering unlike

fractions and improper fractions

and
in
Arrange the fractions, | order.
decreasing
Solution
Write the fractions as like fractions.
1 5 5x4 _ 20 3 _ 3X8 24 5.1 16
4~4x4"16 2"2x8~16 5 - ' - 16
\A/p npt 20 15 24 j lb
16
vveget^g, .,g, .,5 ana ^g.

Compare their numerators.
^ 24>20>16>15
Weseethat|, I and|
So 24 >20 16 .15 can be expressed with
16 ^ 16 > 16 ^ 16 •
denominators of 16. Use j
So, the fractions arranged in decreasing order are: 1
their equivalent fractions.
3 5 5 15
2' 4' 5' 16

To compare unlike fractions and improper fractions easily, we make the
denominators of the fractions the same.
O Find the lowest common multiple (LCM) of the denominators.
Find equivalent fractions for each fraction with the LCM as the denominator.

Check My
Understanding

O Which fraction in each pair is greater?
^
and
e)
^
f)
and
and
\
and
a) I and f b) | | | | | | |
c)
d)
and
O Fill in the blanks with <, > or =.
100
a) ini b) ini 1000 e) 2_\ I _21L
I 1000
10 I
fl 2 □ I 9) i □ ^ b) f i i) ^ ^ i) 1 □ f