Maths-
General
Easy

Question

Which of the numbers fraction numerator 3 over denominator negative 4 end fraction and fraction numerator negative 5 over denominator 6 end fraction is greater

Hint:

Find the least common multiple of denominators.

The correct answer is: -5/6


    Complete step by step solution:
    Given rational numbers are fraction numerator 3 over denominator negative 4 end fraction and fraction numerator negative 5 over denominator 6 end fraction.
    Here, fraction numerator 3 over denominator negative 4 end fraction equals fraction numerator 3 cross times negative 1 over denominator negative 4 cross times negative 1 end fraction equals fraction numerator negative 3 over denominator 4 end fraction
    So we have fraction numerator 3 over denominator negative 4 end fraction and fraction numerator negative 5 over denominator 6 end fraction
    By taking LCM of denominators 4 and 6, we get LCM as 12
    On multiplying fraction numerator 3 over denominator negative 4 end fraction with 3, we get fraction numerator negative 3 cross times 3 over denominator 4 cross times 3 end fraction equals fraction numerator negative 9 over denominator 12 end fraction
    On multiplying fraction numerator negative 5 over denominator 6 end fraction with 2, we get fraction numerator negative 5 cross times 2 over denominator 6 cross times 2 end fraction equals fraction numerator negative 10 over denominator 12 end fraction
    On comparing the above fractions with same denominator,
    we have -9 > -10
    Hence fraction numerator negative 9 over denominator 12 end fraction greater than fraction numerator negative 10 over denominator 12 end fraction equals fraction numerator 3 over denominator negative 4 end fraction greater than fraction numerator negative 5 over denominator 6 end fraction

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