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Fractions -Comparing and Ordering Fractions
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Question: Charlie scored 70 out of 100 in a math test and Jake scored 75 out of 125 in another math test. Who between them scored better?
A ) Charlie
B ) Jake
C ) Both the two
D ) None of the above
Steps to derive
6
The fraction of points Charlie scored in the math test he took is
70
100
=
7
10
[Simplify.]
7
The fraction of points Jake scored in the math test he took is
75
125
=
3
5
[Simplify.]
8
The fractions to be compared are
7
10
and
3
5
.
9
The LCM of the denominators 10 and 5 is 10, so the LCD of
7
10
and
3
5
is 10 .
10
7
10
=
7
10
and
3
5
=
6
10
[Write equivalent fractions with a denominator of 10.]
11
7 > 6
[Compare the numerators as the denominators are equal.]
12
7
10
>
3
5
[Compare the fractions.]
13
Charlie scored better than Jake.
Hence the right answer is Option A
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