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ICSE Class 7 Answered

Arrange the following rational numbers in ascending order  4/-5,-5/12,7/-18,-2/3
Asked by Rapinder0009 | 22 Sep, 2018, 06:50: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style fraction numerator negative 4 over denominator 5 end fraction comma space fraction numerator negative 5 over denominator 12 end fraction comma space fraction numerator negative 7 over denominator 18 end fraction comma space fraction numerator negative 2 over denominator 3 end fraction

LCM left parenthesis 5 comma 12 comma 3 comma 18 right parenthesis space space equals space 180 space..... using space prime space factorisation space method

fraction numerator begin display style negative 4 end style over denominator begin display style 5 end style end fraction space equals space fraction numerator negative 4 space cross times space 36 over denominator 5 space cross times space 36 end fraction equals space fraction numerator negative 144 over denominator 180 end fraction
space fraction numerator begin display style negative 5 end style over denominator begin display style 12 end style end fraction equals space fraction numerator begin display style negative 5 space cross times space 15 end style over denominator begin display style 12 space cross times space 15 end style end fraction equals space fraction numerator begin display style negative 75 end style over denominator begin display style 180 end style end fraction
fraction numerator begin display style negative 7 end style over denominator begin display style 18 end style end fraction space equals space fraction numerator begin display style negative 7 space cross times space 10 end style over denominator begin display style 18 space cross times space 10 end style end fraction equals space fraction numerator begin display style negative 70 end style over denominator begin display style 180 end style end fraction
fraction numerator begin display style negative 2 end style over denominator begin display style 3 end style end fraction space equals space fraction numerator begin display style negative 2 space cross times space 60 end style over denominator begin display style 3 space cross times space 60 end style end fraction equals space fraction numerator begin display style negative 120 end style over denominator begin display style 180 end style end fraction
70 less than 75 less than 120 less than 144
minus 70 greater than negative 75 greater than negative 120 greater than negative 144
Ascending space Order colon
fraction numerator begin display style negative 144 end style over denominator begin display style 180 end style end fraction less than fraction numerator begin display style negative 120 end style over denominator begin display style 180 end style end fraction less than fraction numerator begin display style negative 75 end style over denominator begin display style 180 end style end fraction less than fraction numerator begin display style negative 70 end style over denominator begin display style 180 end style end fraction end style
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