This one doesn't have a pattern, so it would not be considered as a recurring decimal.

Start by letting the decimal be $x$. Then, subtract $10x-x$

The numerator and denominator in a fraction should both be integers.

This is the right fraction, but it can be simplified further. Notice that there is a common factor of 11 here, so we can divide both the numerator and denominator by 11 to find the simplest form of this fraction.

Start by letting the decimal be $x$, then find the difference between $x$ and $100x$, since the repeating unit contains two decimal places.

This is the right fraction. However, notice that there is a common factor of 9, and therefore the fraction can be simplified further.

Start by letting the decimal be $x$, then subtract $x$ from $100x$, since the repeating unit contains two decimal places.

This would be correct for 0.75, but remember to subtract the $0.757575...$ from $100x$. Therefore, the fraction should first have a denominator of 99, which can then be simplified further.

Let x be the decimal, then subtract $10x$ from $100x$

Here, we need to subtract $100x-10x$. This leaves us with $17.7777...1.7777=16$. Since we have subtracted $100x-10x$, the fraction is $\dfrac{16}{90}$. We can see that there is a common factor of 2 here, so the final answer is $\dfrac{8}{45}$.

Here, we need to subtract $100x-10x$. This leaves us with $28.888-2.888=26$. Since we have subtracted $100x-10x$, the fraction is $\dfrac{26}{90}$. We can see that there is a common factor of 2 here, so the final answer is $\dfrac{13}{45}$.

A recurring decimal follows a pattern after the decimal point, and it is important to be able to convert recurring decimals into fractions.

Recurring Decimals

Changing Fractions into Percentages and Decimals

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