Question

arrange in ascending order
(-5)/7, (-6)/8,4/(-9),(-5)/12​

Answer 1

Answer:

$\frac{-6}{8}$ < $\frac{-5}{7}$ < $\frac{4}{-9}$ < $\frac{-5}{12}$

Step-by-step explanation:

$\frac{-5}{7}, \frac{-6}{8},\frac{4}{-9} ,\frac{-5}{12}$

lcm of the denominators, 7,8,9,12

7 = 7*1

8 = 2*2*2

9 = 3*3

12 = 2*2*3

so, lcm = 7*2*2*2*3*3 = 504

so,

$(\frac{-5}{7} * \frac{72}{72}) , (\frac{-6}{8} * \frac{63}{63}),(\frac{4}{-9}* \frac{56}{56}) ,(\frac{-5}{12}* \frac{42}{42})$

=>$\frac{-360}{504}$ ,  $\frac{-378}{504}$ ,  $\frac{-224}{504}$  ,  $\frac{-210}{504}$

in ascending order,

$\frac{-378}{504}$ < $\frac{-360}{504}$  < $\frac{-224}{504}$ <  $\frac{-210}{504}$

ie., $\frac{-6}{8}$ < $\frac{-5}{7}$ < $\frac{4}{-9}$ < $\frac{-5}{12}$