Question
Which of the following lies between 254 and 223?
Answer: Option A
:
A
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A
Rational numbers can be compared by making their denominators equal.
Here, we need to compare all given rational numbers 254,223,132,152,172 and 81.
We know LCM of 1, 2, 3 and 4, i.e., the denominators of the above fractions, is 12.
Converting all the above fractions into like fractions, we get
254=25×34×3=7512
223=22×43×4=8812
132=13×62×6=7812
152=15×62×6=9012
172=17×62×6=10212
8=81=8×121×12=9612
Arranging these fractions in an ascending order, we have
7512,7812,8812,9012,9612,10212
Thus, 132 lies between 254 and 223.
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