To convert 2/9 to a decimal using long division, follow these steps:
Step 1: Set up the long division problem:
Place the decimal point in the quotient directly above the division symbol.
0.
------
9| 2
Step 2: Divide:
Divide the first digit of the dividend (2) by the divisor (9). Place the quotient (2 ÷ 9) above the division symbol.
0.2
------
9| 2
Step 3: Multiply:
Multiply the divisor (9) by the quotient (2). Write the result below the dividend.
18
0.2
------
9| 2
Step 4: Subtract:
Subtract the product (18) from the first digit of the dividend (20). Write the result beneath the line.
18
0.2
------
9| 2
-18
Step 5: Bring down the next digit:
Bring down the next digit from the dividend (0) and write it next to the difference (2).
18
0.2
------
9| 2
-18
20
Step 6: Repeat:
Divide the new number (20) by the divisor (9). Place the quotient (2 ÷ 9) above the division symbol.
18
0.2 2
------
9| 2
-18
20
Step 7: Multiply:
Multiply the divisor (9) by the quotient (2). Write the result below the new number.
18
0.2 2
------
9| 2
-18
20
18
Step 8: Subtract:
Subtract the product (18) from the new number (20). Write the result beneath the line.
18
0.2 2
------
9| 2
-18
20
-18
Step 9: Bring down the next digit:
Since the dividend has a remainder of 2 and no more digits, the process stops here.
Step 10: Final result:
The decimal equivalent of 2/9 is 0.2 recurring, which can be represented as 0.2̅ or 0.2 overlined.
Use long division to convert 2/9 to a decimal
1 answer
1 answer