Question

arrange rational number in descending 2/-3,-4/9,-5/12,7/-18

Answer 1

Hi! Hope this answer helps you....

Answer 2

Given that,

Rational numbers : $\dfrac{-2}{3}, \dfrac{-4}{9}, \dfrac{-5}{12}, \dfrac{-7}{18}$

To find,

Arrange the rational number in descending order.

Solution,

Firstly, make the denominator of each number same. The LCM of 3,9,12 and 18 is 36. Now, multiplying every fraction by the number to make fraction equals 36. So,

$\dfrac{-2}{3}=\dfrac{-2\times 12}{3\times 12}=\dfrac{-24}{36}$

$\dfrac{-4}{9}=\dfrac{-4\times 4}{9\times 4}=\dfrac{-16}{36}$

$\dfrac{-5}{12}=\dfrac{-5\times 3}{12\times 3}=\dfrac{-15}{36}$

$\dfrac{-7}{18}=\dfrac{-7\times 2}{18\times 2}=\dfrac{-14}{36}$

Now, the denominator of each number is same. In descending order, the greatest number first followed by the smallest numbers. So,

$\dfrac{-14}{36}>\dfrac{-15}{36}>\dfrac{-16}{36}> \dfrac{-24}{36}$

Hence, this is the required solution.