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ICSE Class 8 Answered

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Asked by Shaistaali146 | 19 Mar, 2019, 09:00: PM
answered-by-expert Expert Answer
left parenthesis a right parenthesis space x equals fraction numerator negative 3 over denominator 4 end fraction comma space y equals 2 over 3 space a n d space z equals fraction numerator negative 4 over denominator 7 end fraction
left parenthesis i right parenthesis
C o n s i d e r comma space
left parenthesis x plus y right parenthesis divided by z space equals space fraction numerator x plus y over denominator z end fraction
equals fraction numerator begin display style fraction numerator negative 3 over denominator 4 end fraction end style plus begin display style 2 over 3 end style over denominator begin display style fraction numerator negative 4 over denominator 7 end fraction end style end fraction
equals fraction numerator begin display style fraction numerator negative 9 plus 8 over denominator 12 end fraction end style over denominator begin display style fraction numerator negative 4 over denominator 7 end fraction end style end fraction
equals fraction numerator begin display style fraction numerator negative 1 over denominator 12 end fraction end style over denominator begin display style fraction numerator negative 4 over denominator 7 end fraction end style end fraction
equals fraction numerator negative 1 over denominator 12 end fraction cross times fraction numerator 7 over denominator negative 4 end fraction
equals 7 over 48
left parenthesis x plus y right parenthesis divided by z equals 7 over 48 space..... space left parenthesis i right parenthesis
C o n s i d e r comma
left parenthesis x divided by z right parenthesis plus left parenthesis y divided by z right parenthesis
equals x over z plus y over z
equals fraction numerator fraction numerator negative 3 over denominator 4 end fraction over denominator fraction numerator negative 4 over denominator 7 end fraction end fraction plus fraction numerator 2 over 3 over denominator fraction numerator negative 4 over denominator 7 end fraction end fraction
equals 21 over 16 minus 14 over 12
equals 63 over 48 minus 56 over 48
equals fraction numerator 63 minus 56 over denominator 48 end fraction
equals 7 over 48
left parenthesis x divided by z right parenthesis plus left parenthesis y divided by z right parenthesis equals 7 over 48 space..... space left parenthesis i i right parenthesis
T h e r e f o r e comma space left parenthesis x plus y right parenthesis divided by z equals left parenthesis x divided by z right parenthesis plus left parenthesis y divided by z right parenthesis
H e n c e comma space v e r i f i e d.
Answered by Renu Varma | 20 Mar, 2019, 10:28: AM
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