Which is the correct descending order of the following rational numbers : − 2, 4/(- 5) , 11/20 , 3/4 ?
Answers
First, make the denominator of all the numbers same and then arrange the numerators in descending order.
LCM = 20
Since the denominators are same, we can arrange the numbers in descending order according to the numerators.
Descending order -
Therefore, the descending order of the original numbers is as follows :-
Step-by-step explanation:
First, make the denominator of all the numbers same and then arrange the numerators in descending order.
-2, \dfrac{4}{-5}, \dfrac{11}{20}, \dfrac{3}{4}−2,
−5
4
,
20
11
,
4
3
\dfrac{-2}{1}, \dfrac{-4}{5}, \dfrac{11}{20}, \dfrac{3}{4}
1
−2
,
5
−4
,
20
11
,
4
3
LCM = 20
\dfrac{-2 \times 20 }{1\times20}, \dfrac{-4\times4}{5\times4}, \dfrac{11\times1}{20\times1}, \dfrac{3\times5}{4\times5}
1×20
−2×20
,
5×4
−4×4
,
20×1
11×1
,
4×5
3×5
\dfrac{-40}{20}, \dfrac{-16}{20}, \dfrac{11}{20}, \dfrac{15}{20}
20
−40
,
20
−16
,
20
11
,
20
15
Since the denominators are same, we can arrange the numbers in descending order according to the numerators.
Descending order - \dfrac{15}{20}, \dfrac{11}{20}, \dfrac{-16}{20}, \dfrac{-40}{20}
20
15
,
20
11
,
20
−16
,
20
−40
Therefore, the descending order of the original numbers is as follows :-
\dfrac{3}{4}, \dfrac{11}{20}, \dfrac{4}{-5}, -2
4
3
,
20
11
,
−5
4
,−2