Convert the fraction below into a decimal

Question

start fraction, 10, divided by, 11, end fraction

Answer 1

To convert the fraction \( \frac{10}{11} \) into a decimal, you can perform the division:

\( 10 \div 11 \).

When you do the division:

1. 11 goes into 10 zero times, so you start with 0.
2. Add a decimal point and a zero (making it 10.0), then divide again.
3. 11 goes into 100 (after moving the decimal) nine times, since \( 11 \times 9 = 99 \).
4. Subtract 99 from 100, which leaves 1.
5. Bring down another 0, making it 10.
6. Repeat the process: 11 goes into 10 zero times again, and again, you will have to bring down zeros.

Continuing this process results in:

\[ \frac{10}{11} = 0.909090\ldots \]

This is a repeating decimal. You can represent it as:

\[ 0.\overline{90} \]

Thus, the decimal representation of \( \frac{10}{11} \) is approximately \( 0.909 \) (with the "90" repeating).