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Question

Arrange the following rational numbers in descending order: fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction

The correct answer is: Perform division and find the values of fractions and then arrange.


    Here the value of fraction numerator negative 4 over denominator 9 end fraction equals negative 0.444
                                               fraction numerator negative 5 over denominator 12 end fraction equals negative 0.4166
                                               fraction numerator negative 7 over denominator 18 end fraction equals negative 0.388
                                      and   fraction numerator negative 2 over denominator 3 end fraction equals negative 0.666
    On arranging these from greatest to least, we have -0.388> -0.4166> -0.44>-0.66
                                        not stretchy rightwards double arrow fraction numerator negative 7 over denominator 18 end fraction greater than fraction numerator negative 5 over denominator 12 end fraction greater than fraction numerator negative 4 over denominator 9 end fraction greater than fraction numerator negative 2 over denominator 3 end fraction

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