Express 7 13 as repeating decimal. Mark the repeating digits with a bar
To express 7/13 as a repeating decimal, we can start by performing the division:
```
0.5384615384615385...
```
Since there is a repeating pattern, we can mark the repeating digits with a bar:
```
0.5384615384615385...
```
Therefore, the decimal representation of 7/13 is 0.5384615384615385...
To express 7/13 as a repeating decimal, we can use long division.
Let's begin by dividing 7 by 13. The quotient is 0, so we write 0 as the whole number part.
Now, we multiply 13 by 0 to get 0, and subtract it from 7. This gives us 7.
Since we still have a non-zero remainder, we need to bring down the next digit, which is 0. We now have 70.
Dividing 70 by 13, we find that the quotient is 5. We write down 5 as the next digit in the decimal.
Next, we multiply 13 by 5 to get 65, and subtract it from 70 to get 5 as the remainder.
Since we still have a non-zero remainder, we bring down the next digit, which is 0. We now have 50.
Dividing 50 by 13, we find that the quotient is 3. We write down 3 as the next digit in the decimal.
Next, we multiply 13 by 3 to get 39, and subtract it from 50 to get 11 as the remainder.
Since we still have a non-zero remainder, we bring down the next digit, which is 0. We now have 110.
Dividing 110 by 13, we find that the quotient is 8. We write down 8 as the next digit in the decimal.
Next, we multiply 13 by 8 to get 104, and subtract it from 110 to get 6 as the remainder.
Since we still have a non-zero remainder, we bring down the next digit, which is 0. We now have 60.
Dividing 60 by 13, we find that the quotient is 4. We write down 4 as the next digit in the decimal.
Next, we multiply 13 by 4 to get 52, and subtract it from 60 to get 8 as the remainder.
We still have a non-zero remainder, so we bring down the next digit, which is 0. We now have 80.
Dividing 80 by 13, we find that the quotient is 6. We write down 6 as the next digit in the decimal.
Next, we multiply 13 by 6 to get 78, and subtract it from 80 to get 2 as the remainder.
We still have a non-zero remainder, so we bring down the next digit, which is 0. We now have 20.
Dividing 20 by 13, we find that the quotient is 1. We write down 1 as the next digit in the decimal.
Next, we multiply 13 by 1 to get 13, and subtract it from 20 to get 7 as the remainder.
Since we have a remainder of 7 and we brought down 0 after every division, we can see that the decimal representation of 7/13 is 0.538461 with the digits 538461 repeating. Hence, we can write it as 0.538461̅.