Question

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

Answer 1

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 $\frac{10}{12}\:,\:\frac{2}{9}$.

Answer 2

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