Use long division to convert 3 3/8 to a decimal
To convert 3 3/8 to a decimal using long division, follow these steps:
1. Write the mixed number as a fraction: 3 3/8 = (8 * 3 + 3)/8 = 27/8
2. Set up the long division with 27 as the dividend and 8 as the divisor.
3.375
+------------
8 | 27
3. Divide 27 by 8: 8 can go into 27 three times:
3.375
+------------
8 | 27
-24
----
3
4. Bring down the next digit (0) from the dividend, making it 30.
3.375
+------------
8 | 27
-24
----
30
5. Divide 30 by 8: 8 can go into 30 three times again:
3.375
+------------
8 | 27
-24
----
30
-24
---
60
6. Bring down the next digit (0) from the dividend, making it 60.
3.375
+------------
8 | 27
-24
----
30
-24
---
60
7. Divide 60 by 8: 8 can go into 60 seven times:
3.375
+------------
8 | 27
-24
----
30
-24
---
60
-56
----
40
8. Since the dividend (40) is less than the divisor (8), we have reached the end of the long division.
Therefore, 3 3/8 is equal to the decimal 3.375.
To convert 3 3/8 to a decimal using long division, follow these steps:
Step 1: Rewrite 3 3/8 as an improper fraction:
3 × 8 + 3 = 24 + 3 = 27
So, 3 3/8 can be written as the improper fraction 27/8.
Step 2: Perform long division:
Divide 27 by 8.
8 | 27
- 24
---
3
Step 3: Bring down the next digit (0 if there's no more):
Bring down a 0 after the remainder 3.
8 | 27
- 24
---
30
Step 4: Divide 30 by 8 again:
Divide 30 by 8, which equals 3 with a remainder of 6.
8 | 27
- 24
---
30
- 24
---
6
Step 5: Bring down another 0 if there's no more:
Since there are no more digits to bring down, we're done with the long division.
8 | 27
- 24
---
30
- 24
---
6
Step 6: Write the decimal:
The decimal representation of 3 3/8 is 3.375.
To convert the mixed number 3 3/8 to a decimal using long division, follow these steps:
Step 1: Write the mixed number as a fraction.
3 3/8 can be written as an improper fraction: (3 * 8 + 3) / 8 = 27/8.
Step 2: Perform long division.
Divide the numerator (27) by the denominator (8):
3.375
___________
8 | 27.000
Here's how it works:
- Divide 27 by 8: 27 ÷ 8 = 3.
- Multiply the quotient (3) by the divisor (8): 3 × 8 = 24.
- Subtract the result (24) from the numerator (27): 27 - 24 = 3.
- Bring down the decimal point and add a zero after it: 30.
- Divide 30 by 8: 30 ÷ 8 = 3.
- Multiply the new quotient (3) by the divisor (8): 3 × 8 = 24.
- Subtract the result (24) from the numerator (30): 30 - 24 = 6.
- Bring down another zero: 60.
- Divide 60 by 8: 60 ÷ 8 = 7.
- Multiply the new quotient (7) by the divisor (8): 7 × 8 = 56.
- Subtract the result (56) from the numerator (60): 60 - 56 = 4.
Step 3: Write the result as a decimal.
The final result is 3.375.
Therefore, 3 3/8, when converted to decimal using long division, is equal to 3.375.