Ordering Rational Numbers
SSAT Upper Level Quantitative · Flashcards
SSAT UPPER LEVEL QUANTITATIVE · FLASHCARDS
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QUESTION
What rule compares two fractions with the same denominator, such as
a
d
\frac{a}{d}
d
a
and
b
d
\frac{b}{d}
d
b
where
d
>
0
d>0
d
>
0
?
QUESTION
Which number is the greatest:
−
7
3
-\frac{7}{3}
−
3
7
,
−
2.2
-2.2
−
2.2
,
−
9
4
-\frac{9}{4}
−
4
9
,
−
2
-2
−
2
?
QUESTION
Which inequality is true:
2
3
□
3
5
\frac{2}{3}\ \square\ \frac{3}{5}
3
2
□
5
3
?
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ANSWER
2
3
>
3
5
\frac{2}{3} > \frac{3}{5}
3
2
>
5
3
. Cross-multiplying yields
2
×
5
=
10
>
3
×
3
=
9
2 \times 5 = 10 > 3 \times 3 = 9
2
×
5
=
10
>
3
×
3
=
9
, so
2
3
\frac{2}{3}
3
2
is greater.
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