To convert 3 3/8 to a decimal using long division, we follow these steps:
1. Write the mixed number as an improper fraction.
3 3/8 = (3 * 8 + 3) / 8 = 27 / 8
2. Perform long division by dividing the numerator (27) by the denominator (8).
3.375
___________
8 | 27
Start by dividing 27 by 8. The quotient is 3 since 8 goes into 27 three times.
3.375
___________
8 | 27
24
___________
8 | 27
Then, multiply the quotient (3) by the denominator (8) and subtract it from the numerator (27).
24
- 24
___________
3
___________
8 | 27
Bring down the next digit (0) and divide it by the denominator (8) using long division.
24.375
___________
8 | 27.0
The resulting decimal is 3.375.
Therefore, 3 3/8 can be written as 3.375 in decimal form.
Use long division to convert 3 3/8 to a decimal. (1 point)
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