Question

Express 7 13 as repeating decimal mark the repeating with a bar

Answer 1

The fraction 7/13 can be expressed as a repeating decimal by long division or using a calculator.

Using long division, we start dividing 7 by 13:

```
0.
13) 7.00000000
- 0
7
```

Take the remainder (7) and add a decimal point after the zero in the quotient. Bring down another zero and divide:

```
0.5
13) 7.00000000
- 0
7
- 6
10
```

Now, bring down another zero and divide:

```
0.53
13) 7.00000000
- 0
7
- 6
10
- 9
10
```

Continue this process indefinitely to find the repeating decimal:

```
0.538461538461...
```

To indicate the repeating part, we place a bar over the digits that repeat:

0.538461538461...

Therefore, the decimal representation of 7/13 is 0.538461538461...