To convert the fraction \( \frac{11}{15} \) into a decimal, you can perform the division:
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Divide 11 by 15. Since 11 is less than 15, you can add a decimal point and zeros to 11, making it 11.000 for easier calculation.
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15 does not go into 11, so we have 0 before the decimal point. Considering the decimal, we have:
- 15 into 110 goes 7 times (since \( 15 \times 7 = 105 \)).
- Subtracting \( 105 \) from \( 110 \) gives \( 5 \).
- Bring down the next 0, making it 50.
- 15 goes into 50 three times (since \( 15 \times 3 = 45 \)).
- Subtracting \( 45 \) from \( 50 \) gives \( 5 \) again.
- Bring down another 0 to make it 50 again.
You can see this pattern will repeat:
\[ \frac{11}{15} = 0.7333\ldots \]
Thus, the decimal representation is \( 0.7\overline{3} \).
In the format you provided for the repeating and non-repeating part of the decimal:
- The non-repeating part is \( 0.7 \).
- The repeating part is \( 3 \).
So, you can fill in:
- 7 3
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