Math, asked by ckmohapatra99, 9 months ago

Which of the is the rational number 4/9 - 5/6 - 7/-12 11/-24 which is grater​

Answers

Answered by upendracachet
0

Answer:

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

6

5

.

Step-by-step explanation:

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

9

4

,−

6

5

,−

12

7

,−

24

11

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=722×2×2×3×3=72

Make all denominator same,

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

9

4

=

9×8

4×8

=

72

32

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

6

5

=−

6×12

5×12

=−

72

60

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

12

7

=−

12×6

7×6

=−

72

42

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

24

11

=−

24×3

11×3

=−

72

33

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

72

60

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

6

5

.

Answered by pulakmath007
1

Answer:

4/9 = 32/72

- 5/6 = - 60/72

- 7/-12 = 7/12 = 42/72

11/-24 = - 33/72

So 42/72 is greater

Hence - 7/-12 is greater

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