Question

which rational number is greater -8/3, 19/-6​

Answer 1

Answer:

Step-by-step explanation:

-8/3 > -19/6

Answer 2

Given: Two rational numbers $\frac{-8}{3}$ and $\frac{19}{-6} \ or \ (\frac{-19}{6})$

To find: Which rational number is greater

Solution: To compare the given rational numbers, first we need to make their denominators same.

LCM of their denominators 3 and 6 = 6

To convert the rational numbers with same denominators, we have

$\frac{-8}{3} = \frac{-8}{3}$ × $\frac{2}{2} = \frac{-16}{6}$ and $\frac{-19}{6} = \frac{-19}{6}$ × $\frac{1}{1} = \frac{-19}{6}$

We see that the numerators are -16 and -19 while denominators are same. So, we can compare the numerators to determine which rational number is greater.

We know that -16 > -19 (Negative numbers get smaller and smaller the farther they get from 0).

Hence, $\frac{-8}{3} > \frac{-19}{6}$