What should be subtracted from to get ? - Zigya
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What should be subtracted from fraction numerator negative 3 over denominator 4 end fraction space to get fraction numerator negative 17 over denominator 12 end fraction?


space space space space open parentheses fraction numerator negative 3 over denominator 4 end fraction close parentheses- ( The required rational number) space space fraction numerator negative 17 over denominator 12 end fraction

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#6 {main}</pre>= (The required rational number)

    (The required rational number) = space space open parentheses fraction numerator negative 3 over denominator 4 end fraction close parentheses minus open square brackets fraction numerator negative 17 over denominator 12 end fraction close square brackets equals open parentheses fraction numerator negative 3 over denominator 4 end fraction close parentheses plus 17 over 12

                                              open square brackets because space space Additive space inverse space of space open parentheses fraction numerator negative 17 over denominator 12 end fraction close parentheses space is space 17 over 12 close square brackets

                                          space space equals space open parentheses fraction numerator negative 3 over denominator 4 end fraction cross times 3 over 3 close parentheses plus 17 over 12 (∵ LCM of 4 adn 12 is 12)

                                          space space space equals space fraction numerator negative 9 over denominator 12 end fraction plus 17 over 12
                                              
                                            = space space fraction numerator negative 9 plus 17 over denominator 12 end fraction

                                            = 8 over 12 space or space 2 over 3 space
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