Question

Convert the fraction below into a decimal
start fraction, 11, divided by, 15, end fraction
15
11
​

Answer
Attempt 1 out of 2
Edit the repeating and non-repeating part of the decimal:
0.
__

__

Answer 1

To convert the fraction \( \frac{11}{15} \) into a decimal, you can perform the division:

1. 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.

2. 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:

0. **7**
**3**