Use long division to convert 3 3/8 to a decimal

Answer 1

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.