Question

write the following rational number in ascending order
-2/5 , 3/2 , -6/7 , 4/3​

Answer 1

Solution,

In order to arrange these fractions in ascending order, we first have to equivalize the denominator by finding their LCM.

Values in the denominator → 5, 2, 7 and 3

As all of them are prime numbers, their LCM is the product of all these numbers.

= 5 x 2 x 7 x 3

= 210

Now, equivalizing the fractions,

→ $\sf{\dfrac{-2}{5}\times\dfrac{42}{42}}$

= $\sf{\dfrac{-84}{210}}$

→ $\sf{\dfrac{3}{2}\times\dfrac{105}{105}}$

= $\sf{\dfrac{315}{210}}$

→ $\sf{\dfrac{-6}{7}\times\dfrac{30}{30}}$

= $\sf{\dfrac{-180}{210}}$

→  $\sf{\dfrac{4}{3}\times\dfrac{70}{70}}$

= $\sf{\dfrac{280}{210}}$

Arranging them in the ascending order, we get:

✳ $\sf{\dfrac{-180}{210}}$

✳ $\sf{\dfrac{-84}{210}}$

✳ $\sf{\dfrac{280}{210}}$

✳ $\sf{\dfrac{315}{210}}$

Therefore the required answer is:

$\sf{\dfrac{-180}{210},\dfrac{-84}{210},\dfrac{280}{210},\dfrac{315}{210}}$.