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Are all fraction integers

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Anonymous

7y ago
Updated: 10/17/2024

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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8y ago

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