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Question

 Simplify 4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third 

The correct answer is: Find lcm


    Complete step by step solution:
                         Here the numbers are, 4 over 7 comma space fraction numerator negative 8 over denominator 9 end fraction comma space fraction numerator negative 5 over denominator 21 end fraction comma fraction numerator 1 over denominator space 3 end fraction
     On taking lcm of denominators, we have lcm of 3,7,9,21 as 63
    not stretchy rightwards double arrow fraction numerator 4 cross times 9 over denominator 7 cross times 9 end fraction plus fraction numerator negative 8 cross times 7 over denominator 9 cross times 7 end fraction plus fraction numerator negative 5 cross times 3 over denominator 21 cross times 3 end fraction plus fraction numerator 1 cross times 21 over denominator 3 cross times 21 end fraction
    equals 36 over 63 plus fraction numerator negative 56 over denominator 63 end fraction plus fraction numerator negative 15 over denominator 63 end fraction plus 21 over 63
                                                         equals fraction numerator 36 minus 56 minus 15 plus 21 over denominator 63 end fraction
    equals fraction numerator negative 14 over denominator 63 end fraction equals fraction numerator negative 2 over denominator 9 end fraction
     

     

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