Use long division to convert 3 3/8 to a decimal
2.66
3.375
33.75
0.375
To convert 3 3/8 to a decimal using long division, follow these steps:
1. Rewrite the mixed number as an improper fraction: 3 3/8 = (3 * 8 + 3) / 8 = 27/8.
2. Set up the long division problem by dividing 27 by 8.
```
27 รท 8
________
8| 27
```
3. Divide 8 into 27: 3 times.
```
3
________
8| 27
- 24
______
3
```
4. Bring down the next digit of the numerator (0) and continue dividing.
```
3.?
________
8| 27.0
- 24
______
30
- 24
______
60
- 56
______
40
- 40
______
0
```
5. The long division ends with a remainder of 0, indicating that the division is complete.
Thus, 3 3/8 as a decimal is 3.375.
Therefore, the correct answer is option b) 3.375.
To convert 3 3/8 to a decimal using long division, you can follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
3 3/8 = (3 * 8 + 3) / 8 = 27/8
Step 2: Perform long division by dividing the numerator (27) by the denominator (8).
The quotient is the whole number part of the decimal, and the remainder becomes the numerator for the fractional part.
3.375
___________
8 | 27
- 24
______
30
- 24
______
60
- 56
______
40
- 40
______
0
Step 3: Write down the quotient found in the first column of long division, and the remainder becomes the numerator of the fractional part. The denominator remains the same.
Therefore, 3 3/8 as a decimal is 3.375.
So the correct answer is 3.375.
To convert a mixed number like 3 3/8 to a decimal using long division, follow these steps:
Step 1: Write the mixed number as an improper fraction.
To convert 3 3/8 to an improper fraction, multiply the whole number (3) by the denominator (8) and then add the numerator (3). The result is the numerator of the new fraction, while the denominator remains the same:
3 3/8 = (3 * 8 + 3) / 8 = 27/8
Step 2: Perform long division.
Divide the numerator (27) by the denominator (8) using long division. Start by placing 27 as the dividend and 8 as the divisor. Then, perform the division, following these steps:
- Divide the first digit of the dividend (2) by the divisor (8). The result is 0. Write this above the division bar.
- Multiply the quotient (0) by the divisor (8) to get 0 and write it below the dividend.
- Subtract 0 from the dividend (27 - 0 = 27).
- Bring down the next digit of the dividend (7) and place it next to the result of the subtraction (27) to get 277.
- Divide 27 by 8 again using the same steps. The result is 3 this time.
- Multiply 3 by the divisor (8) to get 24 and write it below the remaining part of the dividend (277).
- Subtract 24 from the remaining part of the dividend (277 - 24 = 253).
- Bring down the next digit of the dividend (3) and place it next to the result of the subtraction (253) to get 2533.
- Divide 253 by 8 again using the same steps. The result is 31 this time.
- Multiply 31 by the divisor (8) to get 248 and write it below the remaining part of the dividend (2533).
- Subtract 248 from the remaining part of the dividend (2533 - 248 = 2285).
- Bring down the next digit of the dividend (5) and place it next to the result of the subtraction (2285) to get 22855.
- Divide 2285 by 8 again using the same steps. The result is 285 this time.
- Multiply 285 by the divisor (8) to get 2280 and write it below the remaining part of the dividend (2285).
- Subtract 2280 from the remaining part of the dividend (2285 - 2280 = 5).
Step 3: Write the decimal as the quotient.
The quotient obtained from the long division is 3.375. Therefore, 3 3/8 is equivalent to 3.375 as a decimal.
Therefore, the correct answer is option 3: 33.75 is the decimal equivalent of 3 3/8.