Question

identify the greater rational number given in pair 6/-11 and -5/7​

Answer 1

➤ Answer :-

$\dashrightarrow \tt \frac{6}{( - 11)} \: \: \frac{( - 5)}{7}$

LCM of (-11) and 7 is 77.

$\dashrightarrow \tt \frac{6 \times ( - 7)}{( - 11) \times ( - 7)} \: \: \frac{( - 5) \times 11}{7 \times 11}$

$\dashrightarrow \tt \frac{( - 42)}{77} \: \boxed{ > } \: \frac{( - 55)}{77}$

$\dashrightarrow \tt \frac{6}{( - 11)} \: \boxed{ > } \: \frac{( - 5)}{7}$

$\Huge\therefore$$\tt\frac{6}{(-11)}$ is greater

Answer 2

Step-by-step explanation:

6/-11 is greater than -5/7

there are several ways to find.

1st way

6/-11 = -0.545

-5/7 = - 0.714

Clearly we can see which one is greater.

2nd method is by cross-multiplication

-6×7 = -42

-5×(-1) = -55

-42 > -55

therefore 6/-11 is greater than -5/7

3rd method

LCM of 7 & 11 = 77

6/-11 * 7/7 = -42/77

-5/7 * 11/11 = -55/77

Again we can see that

-42/77 > -55/77