Maths-
General
Easy
Question
8 Arrange the following rational numbers in ascending order
and
.
Hint:
Find the least common multiple of denominators and then arrange in
ascending 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 -1.
Here,
and ![fraction numerator 7 over denominator negative 18 end fraction equals fraction numerator 7 cross times negative 1 over denominator negative 18 cross times negative 1 end fraction equals fraction numerator negative 7 over denominator 18 end fraction](data:image/png;base64,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)
So, Now we have
and
.
By taking LCM of denominators 5,12,18 and 3, we get LCM as 180
On multiplying
with 36, we get ![fraction numerator negative 4 cross times 36 over denominator 5 cross times 36 end fraction equals fraction numerator negative 144 over denominator 180 end fraction](data:image/png;base64,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)
On multiplying
with 15, we get ![fraction numerator 5 cross times 15 over denominator 12 cross times 15 end fraction equals 75 over 180](data:image/png;base64,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)
On multiplying
with 10, we get ![fraction numerator negative 7 cross times 10 over denominator 18 cross times 10 end fraction equals fraction numerator negative 70 over denominator 180 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAAjCAYAAABSM76hAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAp1JREFUeNrtWi1IBEEUHkSOQ0QwiRgsYjCIYDIYrohBRASD0SImsYtRMBjEIIiIQcQiBoMIIiImi5jEYjLIFZPIIcL5hnvgcszOzu7Ozz73ffCFm93be9/39mbezj4h7KGZQBcYBm4AnzTn9AD3gA/IfRyjgDSeFk7nAvDA0bWPgcsJN9YNcDbyeQbHKEPlaaF09gHvgVUP/4w4g3YV4zvARaJJV3laOJ0XwDHN8XVk2mOmiT8DTinGa3iMIlSeFkrnCq6/SVAlOE3SdYn/AFYU43KsTjDpcZ4WRucgFhidhudHE5026brE/2i+800s6TpPrepsiuyV+h1OM2kgk32dIelZE98oYJWe1dNC6JSFxmWG77lIfD1mCqwSm+qTPA2uswP4klDQ+ZzqZWEzrRifIlTcmXgaXOccTklZk267uJuP2UM4IvQ4Z+JpcJ2nwKWcSbf5OCdxC1zDoqiC17wTdGDqaVCdcj3pDVwstUPGc4hFzpdobWV2E0q8qafUdTIYDAaD4Rt5Nl0YDNp39n9mWTxl8FTPYDAYDAajrDBpY+4SrYa/T9HaL74CDgSOqcit1TY9dabTpI1ZviDYFH9vh7YwCFeg3lpt01PnOnVBtrf4yAYCH31t1Fur83rqRacuSDkddbcF+aY5n1ur7XjqRacuSHnXrUY+TwC3E67HrdX5PfWiUxfkKE5DkrLz4x04aXDNsrdW5/XUi864IGXP9wmwP3L3jQNfMXiT5P/31mpXnnrRGRfkeUyC5TpzGyjxVFqr83rqRWczw53VMEh6mVur83rqRWdckM/AIcX4CK5LIYo7Kq3VeT31olNn8jNOQx3IGq5HK4Ee54Sg0Vptw1NnOk3eQcuNhEesJBv4w3OODaPcWm3T09Q6fwGbXrWx2ea4CgAAARB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+NzwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjEwPC9tbj48L21yb3c+PG1yb3c+PG1uPjE4PC9tbj48bW8+JiN4RDc7PC9tbz48bW4+MTA8L21uPjwvbXJvdz48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+NzA8L21uPjwvbXJvdz48bW4+MTgwPC9tbj48L21mcmFjPjwvbWF0aD6AzQMYAAAAAElFTkSuQmCC)
On multiplying
with 60, we get ![fraction numerator negative 2 cross times 60 over denominator 3 cross times 60 end fraction equals fraction numerator negative 120 over denominator 180 end fraction](data:image/png;base64,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)
On comparing the above fractions with same denominator,
we have -144 < -120< -70 < 75
Hence ![fraction numerator negative 144 over denominator 180 end fraction less than fraction numerator negative 120 over denominator 180 end fraction less than fraction numerator negative 70 over denominator 180 end fraction less than 75 over 180 equals fraction numerator negative 4 over denominator 5 end fraction less than fraction numerator negative 2 over denominator 3 end fraction less than fraction numerator negative 7 over denominator 18 end fraction less than 5 over 12](data:image/png;base64,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)
So ascending order is ![fraction numerator 4 over denominator negative 5 end fraction comma fraction numerator negative 2 over denominator 3 end fraction comma fraction numerator 7 over denominator negative 18 end fraction comma 5 over 12](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJIAAAAjCAYAAAB/7VNeAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAxFJREFUeNrtWzFoFFEQ/RwSRNIEiyAWAQkhBDkCYiES5JogR4ojkEIsQghIiiBibylYWIidiJVIQCSIhJAmiIQUaSRICEEIFinExiKEsBzCOcO9Yj1ub+/2dv/M9+bBKxJC7v3Z9/+fuZ1xrn/MERtOH24TPxBPiXXiPvG+kJZGCiWhQtcw8VCpkb4Q70EjY4q4i99pwQLxtQIjieMVcVmpkdphjPhNiZZR4g7x4qAbia+ObU2u7hKREh2fiNMKdIg+uyHs7LHAjHQL15s0VohPlMRE9Nk9I65qu2dTwFfIHk5S6euVdVxQZKQ6ipJN4uNYXlkoym12dcPTgrNWPyPEj8RZJUVAReFGY2PfwEl5RJws+gN5N41rzPwTcA0mGldSpW0GcHrPwvAD+51IKyZRXl9SoKWEnT7twoBIUaLxROLy+r2iXKTmY5fnhOvEYzNSExs+7vkesEZcUhindVSzJfAuTDRvRkq/giXwC0m/NnDe9p34h/gbp/hNZzAYDAaDwWAwGMKqcvKm6fl/dBsMBoPBYCgGa7hra6ZnIHWbkSyO/qu+boJQzfi53CTGPT7nrtn6wO+NXhAv9/lQqgXFacI1m8f2O/wNt728JJ5hTVvEqznqTtMgOsqVtRTk/pwDl73d47NrvqkeavmfW0J60vCW+CAlXm+IT6GB18WtzXs56k7TIDrKldVIvNNGC9BzqkxPL/FqbSor4WTIW3cvz8zbKJemL6e4vfYogFQgCWfu3wZ8NtKJgmcWDYqReEcuIU+qBmwkzo8exn7mxrPnws/M2yiX2FhLm+T+USDFSRLKiGUd+cpP4oygkfoa5cr6nsX7WEsMIyh/edF3BKvUbqrVRodc5B3xSqyA4Hgew2C+jaRilMvLWEsbDHdR5Wg9kdYTDFNBherTSJpGucRm7aNAjRR5XFMnI2ka5RIbaykj4Q7RSIcJJ8AUciUfGkRHuaTGWvjqXMCiS7gCfhAXAzXSPMxUicWygliueNIgOsolNdYyg4VHIOcRc8oNlJaUcyy/omqLsFlqHjX0XED8BbOqhqSHqfSIAAABRXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+NDwvbW4+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+NTwvbW4+PC9tcm93PjwvbWZyYWM+PG1vPiw8L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21yb3c+PG1uPjM8L21uPjwvbWZyYWM+PG1vPiw8L21vPjxtZnJhYz48bW4+NzwvbW4+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTg8L21uPjwvbXJvdz48L21mcmFjPjxtbz4sPC9tbz48bWZyYWM+PG1uPjU8L21uPjxtbj4xMjwvbW4+PC9tZnJhYz48L21hdGg+BSf0JgAAAABJRU5ErkJggg==)
Related Questions to study
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,iVBORw0KGgoAAAANSUhEUgAAACkAAAAjCAYAAAAJ+yOQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAO1JREFUeNpjYKAO+E8AD2oQCsSzB7MDxYH4MBBzDGZHbgJig8HswAwgrh3MDpQH4pNAzDKYHXkQiB0He27eNpgdyATENwZ7ZgmARvWgBsuBOHGwO/IlEAsyjIJRMAoGH/g/CPEoGAWjYDABNWjX4QIOeWsgXgPEn4D4F1RdNL0duRiI0/AUIaDmXCQQ80D5WkB8FCo2IOUuKf2iS4PdkSDwY7A70hIa5YPWkRzQLrA1repySh0JaslvAGK3gWyw4ANKUAeqDHSrChfQYICMtnENhqYfNgAabVvFMEiGYXA5cgs0JAdd45nYDIkVAAAn3meq7nKyeQAAAHp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjc8L21uPjxtcm93Pjxtbz4tPC9tbz48bW4+MTI8L21uPjwvbXJvdz48L21mcmFjPjwvbWF0aD4F0oiCAAAAAElFTkSuQmCC)
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,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)
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
Maths-
Nina, Shanti and Belle run a 1000 m race at a constant speed. When Nina crossed the finish line first, she was 200 m ahead of Shanti and 400 m ahead of Belle. When Shanti crossed the finish line, how far ahead of Belle was she?
Nina, Shanti and Belle run a 1000 m race at a constant speed. When Nina crossed the finish line first, she was 200 m ahead of Shanti and 400 m ahead of Belle. When Shanti crossed the finish line, how far ahead of Belle was she?
Maths-General