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Question
Write the following rational numbers in the descending order.
`8/7, (-9)/8, (-3)/2, 0, 2/5`
Solution
Given numbers are `8/7, (-9)/8, (-3)/2, 0, 2/5`
First, we convert the given numbers as like denominators.
LCM of 7, 8, 2, 5 = 2 × 7 × 4 × 5 = 280
Now, `8/7 = 8/7 xx 40/40 = 320/280`
`(-9)/8 = (-9)/8 xx 35/35 = (-315)/280`
`(-3)/2 = (-3)/2 xx 140/140 = (-420)/280`
`2/5 = 2/5 xx 56/56 = 112/280`
In descending order,
∵ `320/280 > 112/280 > 0 > (-315)/280 > (-420)/280`
⇒ `8/7 > 2/5 > 0 > (-9)/8 > (-3)/2`
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