To convert the mixed number 3 3/8 to a decimal, we need to change it to an improper fraction and then divide.
Step 1:
Multiply the whole number 3 by the denominator of the fraction, which is 8.
3 * 8 = 24
Step 2:
Add the result from Step 1 to the numerator of the fraction.
24 + 3 = 27
Step 3:
Write the result from Step 2 over the denominator of the fraction.
27/8
Step 4:
Now we can perform long division. Divide 27 by 8.
3.375
-------------
8 | 27
- 24
-----
3
Step 5:
Since 3 is less than the denominator 8, we can add a decimal point to the quotient and bring down the next digit, which is 0.
3.375
-------------
8 | 27.0
- 24
-----
30
Step 6:
Divide 30 by 8.
3.375
-------------
8 | 27.00
- 24
-----
30
- 24
-----
60
Step 7:
Continue this process until the quotient terminates or repeats.
3.375
-------------
8 | 27.0000
- 24
-----
30
- 24
-----
60
- 56
-----
40
- 40
-----
0
Step 8:
Since there is no remainder and the decimal numbers do not repeat, the final quotient is 3.375.
Therefore, 3 3/8 = 3.375 in decimal form.
Practice use long division to convert 3 3/8 to a decimal
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