Maths-
General
Easy
Question
Arrange the following rational numbers in descending order
and
.
Hint:
Find the least common multiple of denominators and then arrange in
descending order.
The correct answer is: Yes it's rational numbers
Given rational numbers are
and
.
Express the rational numbers with positive denominator by multiplying with.
Here,
and ![fraction numerator 23 over denominator negative 24 end fraction equals fraction numerator 23 x minus 1 over denominator negative 24 x minus 1 end fraction equals fraction numerator negative 23 over denominator 24 end fraction](data:image/png;base64,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)
So, Now we have
and
.
By taking LCM of denominators 6,12,18 and 24, we get LCM as 72
On multiplying
with 12, we get ![fraction numerator negative 5 cross times 12 over denominator 6 cross times 12 end fraction equals fraction numerator negative 60 over denominator 72 end fraction](data:image/png;base64,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)
On multiplying
with 6, we get ![fraction numerator negative 7 cross times 6 over denominator 12 cross times 6 end fraction equals fraction numerator negative 42 over denominator 72 end fraction](data:image/png;base64,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)
On multiplying
with 4, we get ![fraction numerator negative 13 cross times 4 over denominator 18 cross times 4 end fraction equals fraction numerator negative 52 over denominator 72 end fraction](data:image/png;base64,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)
On multiplying
with 3, we get ![fraction numerator negative 23 cross times 3 over denominator 24 cross times 3 end fraction equals fraction numerator negative 69 over denominator 72 end fraction](data:image/png;base64,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)
On comparing the above fractions with same denominator,
we have -42 > -52 > -60 > -69
Hence ![fraction numerator negative 42 over denominator 72 end fraction greater than fraction numerator negative 52 over denominator 72 end fraction greater than fraction numerator negative 60 over denominator 72 end fraction greater than fraction numerator negative 69 over denominator 72 end fraction equals fraction numerator negative 7 over denominator 12 end fraction greater than fraction numerator 13 over denominator negative 18 end fraction greater than fraction numerator negative 5 over denominator 6 end fraction greater than fraction numerator 23 over denominator negative 24 end fraction](data:image/png;base64,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)
So descending order is ![fraction numerator negative 7 over denominator 12 end fraction comma fraction numerator 13 over denominator negative 18 end fraction comma fraction numerator negative 5 over denominator 6 end fraction comma fraction numerator 23 over denominator negative 24 end fraction](data:image/png;base64,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)
Related Questions to study
Maths-
8 Arrange the following rational numbers in ascending order
and
.
8 Arrange the following rational numbers in ascending order
and
.
Maths-General
Maths-
Which of the two rational numbers is greater in the given pair
and ![fraction numerator 7 over denominator negative 12 end fraction](data:image/png;base64,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)
Which of the two rational numbers is greater in the given pair
and ![fraction numerator 7 over denominator negative 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the circumference of the circle whose diameter is 21 cm.
Find the circumference of the circle whose diameter is 21 cm.
Maths-General
Maths-
Express
as a rational number with denominator 5
Express
as a rational number with denominator 5
Maths-General
Maths-
Arrange the numbers
and
in ascending order
Arrange the numbers
and
in ascending order
Maths-General
General
Which of the following structures represent propanoic acid?
Which of the following structures represent propanoic acid?
GeneralGeneral
Maths-
Which of the numbers
and
is greater
Which of the numbers
and
is greater
Maths-General
Maths-
Express
in standard form
Express
in standard form
Maths-General
Maths-
Express
in standard form
Express
in standard form
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![6 over 125](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![6 over 125](data:image/png;base64,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)
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![7 over 8](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![7 over 8](data:image/png;base64,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)
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![123 over 125](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![123 over 125](data:image/png;base64,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)
Maths-General
Maths-
If
Find the values of a and b
If
Find the values of a and b
Maths-General
Maths-
Rationalize the denominator:![fraction numerator 1 over denominator square root of 3 plus square root of 2 minus 1 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGgAAAAqCAYAAABfjB7GAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAhVJREFUeNrtmkEoBFEcxidJ0h6IclEkSZIcKEJykeQgUeQgJcnJ0YFyc6QcKQflIOIg3CRJXMhJHBwd9qD2gBTre/mrbbPMm52Z94bvV79Wb9/ufG//4817u+M4f4dqOAevHGIl63ACJvlR2A0LxAIRFogFIiwQYYFYIMICsUDEmsKkSwghhBDyP1dB1JyEEEIIIcEQi9AqJUpZfWMIHjGrvRzAcWa1kxL4KI/MaiGTcOeb9k64D5/gC7yFS7DYwqytcAsm4KvzecvwSEiZAr9NWc3nAxna+2FeSlsDPDRYoExZj+GwLCAUtfBU2oIm0NuUK2Ac5mu8JuHhOEkDWcvhdYgnTyAFmoErGv0r4Y2h8LpZHZmaI12gS9jtol8pHJPrUI+h8G6zftEi01wkChT7pq0OPsDcXw6a6nQI4b1mTUVNg+eyeLC6QFVwTV7clvbcAlx0+T5FsE8G3eEyrO6O3s+su7BL44P149sHTwWalUGrvcNF2nP3sNHDf+J5QGeXH1krpThVBlaYWU1xU/BdriWKZninMWVke+FNhpC1RhYRBYa2AFlfZ9WGc0P+XobzHt6jXhYKQYfXzaqKuenxhLOmQKvwWQYRlzPuJ9Tmb1D658g3C2qqGQ0hvG7WPRd9rC9QIXyD2/DMRf92GfiLqHbxvSENVjeryZ8XfD3mSZbL5TCJUlbfaJJBlzGrvQwwqxk+AP78K2sOJQazAAAAvHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MTwvbW4+PG1yb3c+PG1zcXJ0Pjxtbj4zPC9tbj48L21zcXJ0Pjxtbz4rPC9tbz48bXNxcnQ+PG1uPjI8L21uPjwvbXNxcnQ+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPilWirgAAAAASUVORK5CYII=)
Rationalize the denominator:![fraction numerator 1 over denominator square root of 3 plus square root of 2 minus 1 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Simplify ![fraction numerator 1 plus square root of 2 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator 1 minus square root of 2 over denominator square root of 5 minus square root of 3 end fraction](data:image/png;base64,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)
Simplify ![fraction numerator 1 plus square root of 2 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator 1 minus square root of 2 over denominator square root of 5 minus square root of 3 end fraction](data:image/png;base64,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)
Maths-General