Convert 6/32
to a decimal using long division.(1 point)
Responses
To convert 6/32 to a decimal using long division, we divide 6 by 32 as follows:
0.1
---------
32 | 6.0
- 0
------
60
- 32
------
280
- 256
------
240
- 224
------
160
So, 6/32 as a decimal is 0.1875.
To convert 6/32 to a decimal using long division, follow these steps:
Step 1: Set up the division problem
Write the fraction 6/32 as 6 รท 32.
Step 2: Perform long division
Start by dividing 6 by 32.
0.18
____________
32| 6.00
Step 3: Divide and multiply
Divide 6 by 32. The answer is 0.18.
Multiply 0.18 by 32 to get 5.76.
Step 4: Subtract and bring down
Subtract 5.76 from 6 to get 0.24.
Bring down the next digit, which is 0.
Step 5: Repeat the process
Divide 24 by 32 to get a quotient of 0.75.
Step 6: Continue the process
Multiply 0.75 by 32 to get 24.
Subtract 24 from 24 to get 0.
Step 7: Determine the repeating decimal
Since the remainder is 0, the long division process ends. The decimal representation of 6/32 is 0.1875.