Question

Compare the rational numbers : 4/-3 and-8/7

Answer 1

Answer:

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Answer 2

Question

Compare the rational numbers : $\frac{4}{-3}\ and\ \frac{-8}{7}$

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Answer

First we will make the denominators positive.

$\frac{4\times -1 }{-3\times -1 } =\frac{-4}{3}$

$\frac{-8\times 1 }{7\times 1 } =\frac{-8}{7}$

Now we will find the LCM of the denominators.

$\begin{array}{r | l} 3 &3,7 \\ \cline{2-2} 7 & 1,7\\ \cline{2-2} & 1,1 \\ \end{array}$

LCM of denominators ⇒ 3×7 = 21

With the help of the LCM we will make the denominators equal.

$\frac{-4\times 7}{3\times 7 } = \frac{-28}{21}$

$\frac{-8\times 3}{7\times 3} = \frac{-24}{21}$

Now we need to compare the numerators.

$\frac{-28}{21} <\frac{-24}{21}$

$\frac{4}{-3} < \frac{-8}{7}$

$\bf \therefore \frac{4}{-3} < \frac{-8}{7}$

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Additional Information

Rational numbers are numbers that can be represented in p/q form where 'p' and 'q' are integers and q is not equal to 0.

Rational Numbers are similar to fractions.

Numbers that are not rational numbers are known to be irrational numbers. One of the famous irrational number is 'pi' ⇒ π

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