Question

which of the rational number 4/9, -5/6, -7/-12 and 11/-24 is the smallest​

Answer 1

The smallest rational number is $-\frac{5}{6}$.

Step-by-step explanation:

Given : Rational numbers $\frac{4}{9},-\frac{5}{6},-\frac{7}{12},-\frac{11}{24}$

To find : Which of the rational number is the smallest​ ?

Solution :

First we take the least common denominator,

LCD of 9,6,12,24,

2 | 9  6  12  24

2 | 9  3   6   12

2 | 9  3   3   6

3 | 9  3   3   3

3 | 3   1   1    1

  | 1   1   1    1

LCD is $2\times 2\times 2\times 3\times 3=72$

Make all denominator same,

$\frac{4}{9}=\frac{4\times 8}{9\times 8}=\frac{32}{72}$

$-\frac{5}{6}=-\frac{5\times 12}{6\times 12}=-\frac{60}{72}$

$-\frac{7}{12}=-\frac{7\times 6}{12\times 6}=-\frac{42}{72}$

$-\frac{11}{24}=-\frac{11\times 3}{24\times 3}=-\frac{33}{72}$

The smallest rational number is $-\frac{60}{72}$

Therefore, the smallest rational number is $-\frac{5}{6}$.

#Learn more

5/8 is the rational number between 3/4 and 1/2.Which is not a rational number between 3/4 and 1/2.?

https://brainly.in/question/13947055

Answer 2

hope you understand