Maths-
General
Easy
Question
Express
as a rational number with denominator 5
Hint:
Solve by finding the greatest common divisor
The correct answer is: -4/5
Given rational number = ![fraction numerator negative 48 over denominator 60 end fraction](data:image/png;base64,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)
The greatest common divisor of 48 and 60 is 12.
Now, divide numerator and denominator of
by 12,
we get ![fraction numerator negative 48 divided by 12 over denominator 60 divided by 12 end fraction equals fraction numerator negative 4 over denominator 5 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAAAjCAYAAAC98dWfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAzFJREFUeNrtW0+EVVEYP548IyNaJGkxZIyMJMbIGCOPjJGRPEbSchhJkrZpGS1aZBbxZLTIbJKRZLRJklnESFqMRKsks2mRZ1zP8Po+7zfe7bp/zn3ed8891/fjx7v3Xe8cv9/9vvOd+75rjBwWid2E7w4TV4ltYkB8SzxpZDFBvE/8kvD9LPEl8S+xg+uuG3+Rpr8oRok7KYOvER8QDxHrxIfET8Jzek5cSZnTB+I1zJ0xSdzCOd+Qpb8oWsTllMGDyHEN0VYE8ggyRvzqoflZ+ouB0+e7DKHboQg7MP9nTgO7BZgfd6OWHTb6i6COSBnLGJzX+9uh4xnioxKaP4PU7wts9RcBr923LIQ+izTfwVr7mzhXsrQ/gjpk1iPzbfW3jq40Rg3dshCa78p14gncqYwp4g/8xqBz6Q7R/KPEV8R5h0ZK6S8CjpJxi8E3EkxuEN+XIPJPwfhxz9Z6W/2d3Kk2BVSQc6xhm3+a+BTPIXzDMLKieJTtJETVJNZ+V+YfJ77As4eqoFu2wZu4ARrY4tXwmdf8Gw4FeYPIN2q+7OBLxM+o9gNU/FccpEXbtKnmKxQKhUKhyLPd0jVY4eddq5SLXt/nrwGkwisUCoVCoagSpk3vXzBudebn86+JFyLXHCE+Mb3/mpktnJNE1Vu0nReTKzB7ImQyC/gxch03El4OHS+afnOhFKreou10x8BibVtcx//crcacf1yQ0FVt0XZqfsvSPE6tcT1wDXyXJ8UVIVKg5mfjm+k1X2bhj+k3aIbB53ZLZr5PLdpOzQ+w1nMj5h6Kpu2Yomk/5Tc6JRLJtxbtLvTjgnWTeNf8/wKM+ODchXPJ9PrdahDuO/GmpfnBAJVsVVu0BwVrP4WdDWfjQlrQ+I6Le6P2HPFX6Hg3Ie2P5Ej7kpHva4t2HOaxixHHJqI9K51zUbeQMFHXBZ/PLdpOC1ZO7VcTBA2/Zt2EwFE8y7HV0xZtO5wxve5ncdSRYpZDAp7HPvli5Fp+A+eO6b+Hf6+o9GSq26K9gd3JQdv7AoxvFjWBY4jqNgo7NnQuoaBaQ0rawzOC0QJMr3KL9hKK631spzmLTQ/yQ/8AN3efFwZb7VUAAAEOdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjQ4PC9tbj48bW8+JiN4Rjc7PC9tbz48bW4+MTI8L21uPjwvbXJvdz48bXJvdz48bW4+NjA8L21uPjxtbz4mI3hGNzs8L21vPjxtbj4xMjwvbW4+PC9tcm93PjwvbWZyYWM+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj40PC9tbj48L21yb3c+PG1uPjU8L21uPjwvbWZyYWM+PC9tYXRoPkL4mTQAAAAASUVORK5CYII=)
expressed as rational number with denominator 5 is
.
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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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)
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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)
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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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)
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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)
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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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)
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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)
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If
Find the values of a and b
If
Find the values of a and b
Maths-General
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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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)
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
Maths-
The wheels on Charlie’s bike have a circumference of 1.5 m. When Charlie is riding fastest, the wheels rotate at a speed of five turns per second. a) What is the fastest speed Charlie can ride his bike, in km/h? b) How far would Charlie travel in 5 minutes at his fastest speed?
The wheels on Charlie’s bike have a circumference of 1.5 m. When Charlie is riding fastest, the wheels rotate at a speed of five turns per second. a) What is the fastest speed Charlie can ride his bike, in km/h? b) How far would Charlie travel in 5 minutes at his fastest speed?
Maths-General
Maths-
Walter and William have a height ratio of 7:8. If William has a height of 152 cm, how tall is Walter?
Walter and William have a height ratio of 7:8. If William has a height of 152 cm, how tall is Walter?
Maths-General
Maths-
A saltwater swimming pool requires 2 kg of salt to be added for every 10000 litres of water. Joan’s swimming pool is 1.5 metres deep, 5 metres wide and 15 metres long. How much salt will she need to add to her pool?
A saltwater swimming pool requires 2 kg of salt to be added for every 10000 litres of water. Joan’s swimming pool is 1.5 metres deep, 5 metres wide and 15 metres long. How much salt will she need to add to her pool?
Maths-General