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A rational number is a number of the form p/q where p and q are integers and q > 0.

If p/q and r/s are two rational numbers then

p/q + r/s = (p*s + q*r) / (q*r)
and

p/q - r/s = (p*s - q*r) / (q*r)


The answers may need simplification.

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Q: How do you add and subtract rational numbers?
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Related questions

What happens when you add subtract multiply and divide rational numbers?

If you add, subtract or multiply rational numbers, the result will be a rational number. It will also be so if you divide by a non-zero rational number. But division by zero is not defined.


What happens when you subtract rational numbers?

The answer is a rational number.


What do you have to add to subtract a rational number?

You have to add the additive inverse. To subtract q, you add -q.


How do you add or subtract rational numbers with common denominators?

you subtract the top 2 numbers and then leave the denominators the same like: 7/8-4/8=3/8. Get it?


Can you subtract two rational numbers and get an irrational number?

Do you mean can we subtract one rational number from another rational number and get an irrational number as the difference? I'm not a mathematician, but I suspect strongly the answer is no. Wouldn't this imply that we can sometimes add a rational number to an irrational one, and get a rational number as a sum? That doesn't seem possible.Ans 2.It isn't possible. Proof :-Given two rational numbers, multiply the two denominators.Express each rational in terms of the common multiple.Algebraically add the numerators of the new rational numbers.Put this over the common multiple; there's the result expressed as a ratio.


Can you add to the rational numbers and get a rational number?

Yes, you can.


Use what you learned about opertions with rational numbers to complete the graphic organizer drscribe a process to perform each operation add subtract multiply and divide?

Not too sure of the question but in general rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions


What do you call the numbers that we add?

Rational and Irrational Numbers


How do you know whether you should add or subtract the value of the two numbers?

By the signs: 2+2(Add) 2-2(Subtract) +=add -=subtract


Can you add two rational numbers and get a rational number?

Every time. The sum of two rational numbers MUST be a rational number.


When you add numbers the answer is the sum What is the answer called when you subtract numbers?

the difference


Why is division not closed for rational numbers give an example?

If a set is closed under an operation. then the answer will be a part of that set. If you add, subtract or multiply any two rational numbers you get another national number. But when it comes to division, it is closed except for one number and that is ZERO. eg 3.56 (rational number) ÷ 0 = no answer. Since no answer is not a rational number, that rational numbers are not closed under the operation of division.