Question

Arrange the rational numbers in ascending order:
a. 2/5, −1/6, 5/−12,−11/30

Answer 1

Step-by-step explanation:

Step1: $\frac{2}{5}, \frac{-1}{6},\frac{-5}{12},\frac{-11}{30}$

Now try to make all the denominators the same

To do that find lcm of all denominators

LCM(5, 6, 12, 30) = 60

$\frac{2*12}{5*12} =\frac{24}{60}$

$\frac{-1*10}{6*10} =\frac{-10}{60}$  

$\frac{-5*5}{12*5} =\frac{-25}{60}$

$\frac{-11*2}{30*2} =\frac{-22}{60}$  

$\frac{24}{60},\frac{-10}{60} ,\frac{-25}{60},\frac{-22}{60}$  

Now you can compare fractions according to num.

Thus, $\frac{-25}{60}$<  $\frac{-22}{60}$ < $\frac{-10}{60}$ < $\frac{24}{60}$

or, $\frac{-5}{12}<\frac{-11}{30}<\frac{-1}{6}<\frac{2}{5}$