Arrange the rational numbers in descending order:-7/5, -19/30, 3/10,-8/15. Created by riyamatai. Math

= > 7/5= 7/30 ÷ 5 = 7/6=>7 × 6/5 × 6 = > 42/30 = > ( - 19)/30 = ( - 19)/30 ÷ 30 = ( - 19)/1( - 19) × 1/30 × 1 = ( - 19)/30= > 3/10 = 3/30 ÷ 10 = 3/33 × 3/10 × 3 = 9/30= > ( - 8)/15 = ( - 8)/30 ÷ 15 = ( - 8)/2} ( - 8) × 2/15 × 2 = > ( - 16)/3042/30 ; 9/30 ; (-16)/30 ; (-19)/30 42/30 > 9/30 > ( - 16)/30 > ( - 19)/30 = > 7/5 > 3/10 > ( - 8)/15 > ( - 19)30 (required answer)hope it's helpful! ~Regards-BrainlyMiracler723

15...

BrainlyMiracler723

$\huge\bold\purple{SOLUTION... }$

$\\\tt \pink{Hey \: mate \: first \: of \: all \: we \: will \: find \: the \: L.C.M. \: of \: the}$

$\\\tt \pink{denominators \: in \: order \: to \: arrange \: them.}$

$\\\tt \pink{L.C.M.=30}$

$\\\tt \pink{Now \: as \: we \: have \: found \: the \: L.C.M.}$ $\\\tt \purple{we \: will \: make \: the \: denominator \: equal \: to \: the \: L.C.M.}$

= > 7/5= 7/30 ÷ 5 = 7/6
=>7 × 6/5 × 6 = > 42/30

= > ( - 19)/30 = ( - 19)/30 ÷ 30 = ( - 19)/1
( - 19) × 1/30 × 1 = ( - 19)/30

= > 3/10 = 3/30 ÷ 10 = 3/3
3 × 3/10 × 3 = 9/30

= > ( - 8)/15 = ( - 8)/30 ÷ 15 = ( - 8)/2}
( - 8) × 2/15 × 2 = > ( - 16)/30

$\\\tt \blue{:. \: the \: new \: rational \: numbers \: are:-}$

42/30 ; 9/30 ; (-16)/30 ; (-19)/30

$\\\tt \blue{Now \: these \: will \: be \: arranged \: in \: descending \: order}$

$\\\tt \purple{Greater \: to \: smaller}$

42/30 > 9/30 > ( - 16)/30 > ( - 19)/30
= > 7/5 > 3/10 > ( - 8)/15 > ( - 19)30 (required answer)

hope it's helpful!

~Regards

-BrainlyMiracler723

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