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Maths-

General

Easy

Question

Which of the following sets of rational numbers is arranged in ascending order :

− 5/ 14 , − 25/ 28 , − 3/ 7 , − 1 /2
− 25/ 28 , − 5 /14 , − 3/ 7 , − 1/ 2
− 25/ 28 , − 1 /2 , − 3 /7 , − 5 /14
− 1 /2 , − 3 /7 , − 5 /14 , − 25/ 2

hint Hint:

Make the denominators the same and then arrange them in ascending order.

The correct answer is: − 25/ 28 , − 1 /2 , − 3 /7 , − 5 /14

Here the correct option is C.
Make the denominators same, say 28
So, $fraction numerator negative 1 over denominator 2 end fraction equals fraction numerator negative 14 over denominator 28 end fraction$ ,
$fraction numerator negative 3 over denominator 7 end fraction equals fraction numerator negative 12 over denominator 28 end fraction$
$fraction numerator negative 5 over denominator 14 end fraction equals fraction numerator negative 10 over denominator 28 end fraction$
$therefore$ Ascending order is $fraction numerator negative 25 over denominator 28 end fraction comma fraction numerator negative 1 over denominator 2 end fraction comma fraction numerator negative 3 over denominator 7 end fraction comma fraction numerator negative 5 over denominator 14 end fraction$

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