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# Is the difference of two rational numbers an integer?

Updated: 4/28/2022

Wiki User

13y ago

It can be but it certainly doesn't have to be.

3/4 and 1/2 are both rational numbers.

(3/4) - (1/2) = 1/4, which is not an integer.

Wiki User

13y ago

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Q: Is the difference of two rational numbers an integer?
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Related questions

### Is it true that the difference of two rational numbers is an integer?

No, it is not generally true.

### Is the difference between two rational numbers always an integer?

When you consider how many rational numbers there are, the difference between any two of them is hardly ever an integer. Examples: 5 - 4/5 = 41/5 5/6 - 2/3 = 1/6 3.274 - 1.368 = 1.906 All of the nine numbers in these examples are rational numbers.

### Would the difference of a rational number and a rational number be rational?

The difference of two rational numbers is rational. Let the two rational numbers be a/b and c/d, where a, b, c, and d are integers. Any rational number can be represented this way. Their difference is a/b-c/d = ad/bd-cb/bd = (ad-cb)/bd. Products and differences of integers are always integers. This means that ad-cb is an integer, and so is bd. Thus, (ad-cb)/bd is a rational number (since it is the ratio of two integers). This is equivalent to the difference of the original two rational numbers.

no

Yes.

### Is two an irrational number?

Two is an integer. All integers are rational numbers.

### Why is the product of any two rational numbers a rational number?

Rational numbers are represented in the form of p/q , where p is an integer and q is not equal to 0.Every natural number, whole number and integer can be represented as rational number.For example take the case of integer -3, it can be represented in the form of p/q as -3/1 and q is not equal to zero, which means that rational numbers consist of counting numbers, whole numbers and integers.Now, what will be the result of product of any two rational numbers?Let us take the case of two rational numbers which are x/y & w/z, their product is equal toxw/yz, which is a rational number because multiplication of x and w results in an integer and also multiplication of y and z results in an integer which satisfies the property of rational numbers, which is in the form of p/q.So, product of any two rational numbers is a rational number.

### Is -1 irrational or rational?

1 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

Yes.

Yes, it is.

### Is Sum of two rational numbers Can never be an integer?

Wrong because 3/4 and a 1/4 are rational numbers that add up to 1

### Can you get definitely an integer and rational number between any two given numbers?

No. You cannot get an integer between 1.2 and 1.3