use long division convert 2/9 into a decimal your approximate ration should have one decimal place
To convert 2/9 into a decimal using long division, we divide 2 by 9:
0.2
----------
9 │ 2.0
-18
------
20
After the first step, we see that 2 divided by 9 gives us 0 with a remainder of 2. We add a decimal point to the quotient and bring down the next digit (0 in this case).
0.2
----------
9 │ 2.00
-18
------
20
As the divisor (9) does not evenly divide into 20, we continue by adding a decimal and a zero to the quotient, bringing down another zero:
0.2
----------
9 │ 2.00
-18
------
20
-18
------
20
-18
-----
20
We repeat the process of bringing down zeros and performing the division until we reach the desired level of decimal places.
Thus, 2/9 as a decimal rounded to one decimal place is approximately 0.2.
To convert the fraction 2/9 into a decimal using long division, follow these steps:
1. Write the fraction as a division problem: 2 ÷ 9.
0.
___________
9 | 2.0
2. Place a decimal point in the quotient (the answer), directly above the division bar.
0.
___________
9 | 2.0
3. Divide 2 by 9. The result is 0.2.
0.2
___________
9 | 2.0
4. Now, subtract 1 times 9 (which is 9) from 20. This leaves you with 11.
0.2
___________
9 | 2.0
- 1.8
----
1.2
5. Bring down the next digit after the decimal point, which is 0, and add it to the remainder 1.2. This gives you 12.
0.2
___________
9 | 2.0
- 1.8
----
1.20
6. Divide 12 by 9. The result is 1.3. Place this value on top of the division bar.
0.2 |
___________
9 | 2.0
- 1.8
----
1.20
0.9
7. Subtract 1.3 times 9 (which is 11.7) from 12. This leaves you with 0.3.
0.2 |
___________
9 | 2.0
- 1.8
----
1.20
-0.9
-----
0.30
8. Since the remainder, 0.3, is less than the divisor (9), we can stop the long division.
9. The final decimal approximation of 2/9 is 0.2.
Therefore, 2/9 is approximately equal to 0.2.