Use long division to convert 3 and 3/8 to a decimal. (1 point)
To convert 3 and 3/8 to a decimal using long division, you can follow these steps:
1. Write down the whole number (3) without any decimal point: 3.
2. Rewrite the mixed number as a fraction by multiplying the whole number by the denominator (8) and adding the numerator (3): 3 + 3/8 = 24/8 + 3/8 = 27/8.
3. Perform long division by dividing the numerator (27) by the denominator (8):
3.375
________
8 | 27
- 24
____
30
- 24
____
60
- 56
____
40
4. Continue the long division until you reach the desired level of decimal places or until the remainder becomes zero. In this case, you can see that the decimal representation of 3 and 3/8 is 3.375.
Therefore, 3 and 3/8 is equal to 3.375 as a decimal.
To convert 3 and 3/8 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
3 and 3/8 can be rewritten as (3 * 8 + 3) / 8 = 27/8.
Step 2: Perform long division.
Divide the numerator (27) by the denominator (8) using long division:
3.375
___________
8 ) 27.000
- 24
------
30
- 24
-----
60
- 56
-----
40
- 40
----
0
Step 3: The quotient obtained from long division is 3.375.
Therefore, 3 and 3/8 as a decimal is 3.375.
To convert 3 and 3/8 to a decimal using long division, follow these steps:
1. Start by writing the whole number (3) as the dividend and the fraction (3/8) as the divisor. Place a decimal point above the division bracket, directly above the whole number.
```
3.
-----
3/8
```
2. To divide, ask yourself: How many times does 8 go into 3? Since 8 cannot be divided evenly into 3, we need to express 3 as a fraction with a common denominator of 8. Multiply the whole number (3) by the denominator of the fraction (8) and add the numerator (3). This gives us a new numerator of 27.
```
3.
-----
3/8
```
3. Now, divide 27 by 8. Determine how many times 8 can be divided into 27 without going over. In this case, 8 can be divided by 27 a total of 3 times. Multiply 8 by 3 and subtract the result (24) from 27 to get the remainder.
```
3. 3
-----
3/8
-24
```
4. Bring down the next digit, which is 0. Now, ask yourself: How many times does 8 go into 30? The answer is 3. Multiply 3 by 8 and subtract the result (24) from 30 to get the remainder.
```
3. 3 7
-----
3/8
-24
-----
60
```
5. Bring down the next digit, which is also 0. Now, ask yourself: How many times does 8 go into 60? The answer is 7. Multiply 7 by 8 and subtract the result (56) from 60 to get the remainder.
```
3. 3 7 . 4 9
-----
3/8
-24
-----
60
-56
-----
40
```
6. Continue this process until you reach your desired level of precision or until the pattern emerges. In this case, the remainder becomes 40, and repeating the steps will result in a recurring decimal.
Therefore, 3 and 3/8 as a decimal is approximately 3.375.