A rational number can be written as the ratio of one blank to another and can be represented by a repeating or blank decimal

A rational number can be written in the form:
\( \frac{p}{q}; \ called \ the \ ratio \\ \\ where \ p \ and \ q \ are \ whole \ numbers \)
The number \( $q$ \) isn’t equal to zero because the division by zero is not defined. So we can represent rational numbers by a repeating or terminating decimal, for instance in the following four exercises we have:
\( \frac{2}{3}=0.6666.=0.\stackrel{\frown}{6} \\ \\ \frac{5}{8}=0.625000.=0.625\stackrel{\frown}{0} \\ \\ \frac{3}{1}=3.000.=3.\stackrel{\frown}{0} \\ \\ \frac{3446}{2475}=1.392323.=1.39\stackrel{\frown}{23} \)

we know that

A rational number is the quotient of two integers with a denominator that is not zero, and can be represented by a repeating or terminating decimal.

Repeating Decimal is a decimal number that has digits that go on forever

Terminating decimal is a decimal number that has digits that do not go on forever.

examples

\( \frac{1}{3} = 0.333. \) (the \( 3 \) repeats forever)-> Is a Repeating Decimal

\( 0.25 \) (it has two decimal digits)-> Is a Terminating Decimal

therefore

the answer is

A rational number can be written as the ratio of one\( integer \) to another and can be represented by a repeating or \( terminating \) decimal


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