Question

Which of the rational numbers
-11/8,-5/7,9/-14 ,29/-42 is the greatest?
(and plzz give me exploration also if you give me explation then I follow you)​

Answer 1

$\frac{ - 11}{8} \: \: \frac{ - 5}{7} \: \: \frac{ - 9}{14} \: \: \frac{ - 29}{42} \\ \frac{ - 11}{8} = \frac{ - 11 \times 21}{8 \times 21} = \frac{ - 131}{168} \\ \frac{ - 5}{7} = \frac{ - 5 \times 24}{7 \times 24} = \frac{ - 120}{168} \\ \frac{ - 9}{14} = \frac{ - 9 \times 12}{14 \times 12} = \frac{ - 108}{168} \\ \frac{ - 29}{42} = \frac{ - 29 \times 4}{42 \times 4} = \frac{ - 116}{168}$

greatest number is -108/168=-9/14

Answer 2

We get that $\dfrac{-108}{168}=\dfrac{-9}{14}$ is the greatest rational number among them.

Step-by-step explanation:

Since we have given that

$\dfrac{-11}{8},\dfrac{-5}{7},\dfrac{-9}{14},\dfrac{-29}{42}$

We first take

LCM of 8,7, 14 and 42 = 168

So, it becomes,

$\dfrac{-11}{8}\times \dfrac{21}{21}=\dfrac{-231}{168}$

$\dfrac{-5}{7}\times \dfrac{24}{24}=\dfrac{-120}{168}$

$\dfrac{-9}{14}\times \dfrac{12}{12}=\dfrac{-108}{168}$

$\dfrac{-29}{42}\times \dfrac{4}{4}=\dfrac{-116}{168}$

Hence, we get that $\dfrac{-108}{168}=\dfrac{-9}{14}$ is the greatest rational number among them.

# learn more:

Which of the following is greater -11/28,-5/7,9/-14,29/-42​

https://brainly.in/question/14061251