arrange the following rational numbers in ascending order -7/10,5/8,2/-3,-1/4,-3/5
Answers
Answer:
-3/5 < 2/-3 < -7/10 < -1/4 < 5/8
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Step-by-step explanation:
to arrange them in ascending order, we must first make their denominator the same.
to do that, we have to find their denominator's LCM.
LCM of 10, 8, -3, 4 and 5 = 2 x 2 x 2 x 3 x 5 x -1
= 4 x 10 x 3 x -1
= -120
now, we make all the fractions' denominators equal to -120 so,
-7/10 will become 84/-120
5/8 will become -75/-120
2/-3 will become 80/-120
-1/4 will become 90/-120
-3/5 will become 72/-120
now, we can arrange them in ascending order.
72/-120 < 80/-120 < 84/-120 < 90/-120 < -75/-120
we can now, rewrite it as:
-3/5 < 2/-3 < -7/10 < -1/4 < 5/8
though 75 < 80, it comes at the end since it is negative and so is the denominator. so, it is positive. the other rational numbers are all negative and this one is positive. so, 75/120 shall be greater than the other rationals.