Arrange the following in ascending and descending order: 2/3, 5/7 , -4 /-9 and 1/4
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Answer:
Ascending order : -4/-9, 1/4, 2/3 and 5/7.
Descending order : 5/7, 2/3, 1/4 and -4/-9.
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Answer:
Ascending order = 1/4 < -4/-9 < 2/3 < 5/7
Descending order = 5/7 > 2/3 > -4/-9 > 1/4
Step-by-step explanation:
FIRST STEP:
Find the LCM of the denominators.
2/3, 5/7,-4/-9 = 4/9, 1/4
LCM of 3,7,-9 & 4 is 252
SECOND STEP:
Multiply the numerator and denominator with a number to get every fraction's denominator as 252.
2/3 x 84/84 = 168/252
5/7 x 36/36 = 180/252
4/9 x 28/28 = 112/252
1/4 x 63/63 = 63/252
THIRD STEP:
Now we can arrange them easily.
Ascending order =
63/252 < 112/252 < 180/252 < 168/252
1/4 < -4/-9 < 2/3 < 5/7
Descending order =
168/252 > 180/252 > 112/252 > 63/252
5/7 > 2/3 > -4/-9 > 1/4
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