Question

Compare the following pairs of rational numbers:-
$(i) \: \: \frac{ - 5}{12} \: \: and \: \: \frac{ - 3}{4} \\ (ii) \frac{ - 7}{24} \: \: and \: \: \frac{9}{ - 20}$
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Answer 1

Here is your answer ✌

Mark me as brainliest

Answer 2

${\huge {\underline {\underline{\mathfrak {\green {Answer}}}}}}$

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${\boxed{\tt {\red {Given:-}}}}$

• $\displaystyle\frac {-5}{12}and\displaystyle\frac {-3}{4}$

• $\displaystyle\frac {-7}{24}and\displaystyle\frac {9}{-20}$

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${\boxed{\tt {\red {Find:-}}}}$

Compare the pairs of rational numbers .

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${\boxed{\tt {\red {Solution:-}}}}$

• $\displaystyle\frac {-5}{12}and\displaystyle\frac {-3}{4}$

For comparing these two pairs we have to first make their denominators same.

And for this,

Take the HCF of the denominators

That's 12

= $\displaystyle\frac {-5×1}{12×1}and\displaystyle\frac {-3×3}{4×3}$

=$\displaystyle\frac {-5}{12}and\displaystyle\frac {-9}{12}$

${\blue{\underline {\tt {Comparing\:the\:values }}}}$

= $\displaystyle\frac {-5}{12}<\:\displaystyle\frac {-9}{12}$

${\blue{\underline {\tt {Clearly\:\displaystyle\frac {-5}{12}\:is\:greater}}}}$

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• $\displaystyle\frac {-7}{24}and\displaystyle\frac {9}{-20}$

For comparing these two pairs we have to first make their denominators same.

And for this,

Take the HCF of the denominators

That's 120

In $\displaystyle\frac {9}{-20}$

It can be written as $\displaystyle\frac {-9}{20}$

Now, coming to the answer,

= $\displaystyle\frac {-7×5}{24×5}and\displaystyle\frac {-9×6}{20×6}$

= $\displaystyle\frac {-35}{120}and\displaystyle\frac {-54}{120}$

${\blue{\underline {\tt{Comparing\:the\:values }}}}$

= $\displaystyle\frac {-35}{120}<\:\displaystyle\frac {-54}{120}$

${\blue{\underline {\tt {Clearly\:\displaystyle\frac {-35}{120}\:is\:greater}}}}$

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