hannahxcakes
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maria rewrites a fraction less than 1 as a decimal the numerator is a whole number greater than 0 for which the denominator will the fraction always convert to a repeating decimal? please help

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Answer:

Given:

Fraction is less than 1.

Numerator of fraction is whole Number greater than 0.

Decimal Expansion is repeating.

We know that when a fraction is less than 1 then Denominator of the fraction is greater than numerator of the fraction.

Also, we know that Decimal expansion is repeating only when denominator is not in form of \(2^n5^m\).

So, Required Fractions are like \(\frac{10}{12}\:,\:\frac{2}{9}\).

MrRoyal

Repeating decimals are decimals that has a repeating sequence of numbers.

Fractions with repeating decimals are: \(\frac{12}{13}, \frac{11}{12}.....\)

Let:

\(n \to\) numerator

\(d \to\) denominator

From the question, we understand that the fraction is less than 1 but greater than 0.

This means that the numerator is less than the denominator.

i.e. \(n < d\)

Fractions with repeating decimals where \(n < d\) are: when

\(d = 9, 6, 3, 11...\)

For some fractions, the relationship between d and n is:

\(d = n +1\)

Examples of such fractions are:

\(\frac{12}{13}, \frac{11}{12}.....\)

Read more about repeating decimals at:

https://brainly.com/question/17861121

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