Use long division to convert 12/30 to a decimal.
A. 2.5
B. 0.4
C. 12.3
D. 4
B. 0.4
To convert 12/30 to a decimal using long division, follow these steps:
1. Set up the division problem with 12 as the divisor and 30 as the dividend:
__________________
12 | 30
2. Divide 30 by 12. The result is 2 with a remainder of 6.
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12 | 30
-24
----
6
3. Bring down the next digit, which is 0, and add it to the remainder. The new dividend is 60.
__________________
12 | 30
-24
----
6
0
4. Divide 60 by 12. The result is 5 with no remainder.
__________________
12 | 30
-24
----
6
0
- 6
----
0
5. There is no remainder, so the division is complete. The quotient is 5.
Therefore, 12/30 is equal to 0.4.
So the answer is B. 0.4.
To convert a fraction to a decimal using long division, follow these steps:
Step 1: Write the fraction as a division problem. In this case, the fraction is 12/30, so we write it as 12 รท 30.
Step 2: Perform the division. Start with the first digit of the dividend (12) and divide it by the divisor (30). Write the quotient above the division symbol.
0.4
----------
30 | 12.0
Step 3: Multiply the divisor (30) by the quotient (0.4), and subtract the result from the dividend (12). Write the result below the dividend.
0.4
----------
30 | 12.0
- 12
---
0
Step 4: Bring down the next digit of the dividend (0). Place it next to the result from step 3.
0.4
----------
30 | 12.0
- 12
---
0.0
Since the result is zero and there are no more digits to bring down, the long division process is complete.
Therefore, the decimal equivalent of 12/30 is 0.4.
The correct answer is B. 0.4.