Question

arrange the following rational numbers in descending order.
-6/11,1/3,-4/33,0/121
please answer ​

Answer 1

$given \\ \frac{ - 6}{11} \: . \: \frac{1}{3} \: . \: \frac{ - 4}{33} \: . \: \frac{0}{121} \:$

To arrange these in descending order (highest to lowest). Remember that to arrange in any order, you should change all denominator into same number.

To change into same, We have to find out the LCM of denominators.

LCM of 3, 11, 33 = 33

$\\ \frac{ - 6}{11} = \frac{ - 6 \times 3}{11 \times 3} = \frac{ - 18}{33} \\ \frac{1}{3} = \frac{1 \times 11}{3 \times 11} = \frac{11}{33} \\ \frac{ - 4}{33} = \frac{ - 4}{33}$

We haven't added 0/121 because in this rational number the numerator is 0 so it will be bigger than negative and smaller than positive rational number.

Now all denominators are same so we can compare each of them.

$\\ \\ \frac{11}{33} > \frac{0}{121} > \frac{ - 4}{33} > \frac{ - 18}{33} \\ hence \\ \frac{1}{3} > \frac{0}{121} > \frac{ - 4}{33} > \frac{ - 6}{13} \\ \\ \\ \\ hope \: it \: helps$

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