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Are all fraction integers

Updated: 8/21/2019
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6y ago

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No.

Note: Not all quotients of fractions (e.g. 3/2=1.5) are an integer. 1.5 is NOT an integer (it is real/rational number), because it is NOT 0 (zero) or one of the positive or negative numbers. (See below for more specific definitions of fraction and integer numbers).

Fraction:

A fraction is simply a number that is usually expressed as a/b or as a ratio of algebraic quantities similarly expressed. For example 1/2, 3/2, -3/2, sqrt 2/2, etc.

Integer:

An integer is 0 (zero) or one of the positive or negative numbers (i.e. the set {..., -3, -2, -1, 0, 1, 2, 3, ...} )

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Previous Response/s:

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A3:

No. An integer is any whole number, both negative and positive, while a fraction is anything that isn't a whole number.

** The above statement "...An integer is any whole number, both negative and positive, while a fraction is anything that isn't a whole number." is INCORRECT.

-- An integer is 0 (zero) OR one of the positive OR negative numbers (i.e. the set {..., -3, -2, -1, 0, 1, 2, 3, ...})

-- Whole numbers are also called counting numbers. They are the set {0, 1, 2, 3, ...}. Negative numbers are NOT whole numbers and 0 is neither a negative nor a positive number.

-- A fraction is NOT "anything that isn't a whole number." (for example the square root of 2 (i.e. 2^(1/2)) is a number that is NOT a fraction and x^3 also evaluates to a number that isn't a fraction. Please open a math book or at least consult the dictionary before answering with an erroneous answer.

A2:

Fraction means part of a whole, so, no. No fractions in their lowest form are integers. 12/3 is not in its lowest form.

A1:

Most are not, as stated above, but even a fraction not in the lowest form is an integer. 12/3 is an integer because it is 4 but 2/3 is not an inteter because it is not a whole number.

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7y ago
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11y ago

This question has a few problems with it.

-- There's no such thing as "interger", so nothing that exists can be one.

-- My guess is that you're referring to "integers".

Integers are whole numbers ... numbers without any fractions or decimals in them.

So there's only one way that any fraction can be the same size as an integer: If its

numerator is a multiple of its denominator. That makes it an "improper" fraction, and

it should be written as its integer equivalent instead of as a fraction anyway.

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11y ago

Integers are whole numbers divided by 1.

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