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