Question

which of the two rational number in each of the following pairs of rational numbers is greater

$(a) \: \: \: \frac{ - 4}{5} \: \: \frac{ - 5}{7}$
$(b) \: \: \frac{ - 7}{8} \: \: \frac{14}{ - 16}$
$(c) \: \: \frac{5}{ - 11} \: \: \frac{ - 5}{11 }$
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

• Make the denominator of both fraction is same.
• For same denominator, multiply the both terms(numerator and denominator) of first fraction with second denominator.
• for second denominator, same vise versa.

$\frac{-4}{5} \times \frac{7}{7} \: \: \: \: \: ,\: \: \: \: \ \frac{ - 5}{7} \times \frac{5}{5} \\ \frac{ - 28}{35 } \: \: \: \: ,\: \: \: \: \frac{ - 25}{35} \: \: \: \:( - 28 < - 25) \\ \frac{ -28}{35} \: < \frac{ - 25}{35} \\ i.e. \frac{ - 4}{5} < \: \frac{ - 5}{7}$

2) (positive number is always greater than negative number).

$\frac{-7}{8} \times \frac{2}{2} \: \: , \: \: \frac{14}{16} \\ \frac{ - 14}{16} \: \: , \: \: \frac{14}{16} \\ \frac{ - 14}{16} \: \: < \: \: \frac{14}{16}$

3)

$\frac{5}{ -11} \: \: , \: \: \frac{ - 5}{11} \\ - \frac{5}{11} = - \frac{5}{11}$