Use long division to convert 3 3/8 to a decimal.
To convert 3 3/8 to a decimal using long division, we first convert the mixed number to an improper fraction:
3 3/8 = (8 * 3 + 3)/8 = 27/8
Now, we can perform long division:
3.375
----------
8 | 27.000
- 24
-----
30
- 24
-----
60
- 56
-----
40
- 40
-----
0
So, 3 3/8 as a decimal is 3.375.
Use long division to convert 4/15 to a decimal.
To convert 4/15 to a decimal using long division:
0.2666666...
------------------
15 | 4.0000000000...
- 3.75
---------------
250
- 225
---------------
2500
- 2250
---------------
2500
- 2250
---------------
...
The division continues indefinitely without repeating or terminating. So, 4/15 as a decimal is approximately 0.2666666... (with the 6s continuing infinitely).
Use long division to convert 7/11 to a decimal.
To convert 7/11 to a decimal using long division:
0.636363...
----------------
11 | 7.0000000000...
- 6.6
---------------
40
- 33
---------------
70
- 66
---------------
40
- 33
---------------
70
- 66
---------------
...
The division continues indefinitely with the pattern "36" repeating. So, 7/11 as a decimal is approximately 0.636363... (with the 36s repeating).
Use long division to convert 5 3/16 to a decimal.
To convert 5 3/16 to a decimal using long division, we first convert the mixed number to an improper fraction:
5 3/16 = (16 * 5 + 3)/16 = 83/16
Now, we can perform long division:
5.1875
-------------
16 | 83.0000
- 80
---------
30
- 32
---------
-20
----------
80
- 80
----------
0
So, 5 3/16 as a decimal is 5.1875.