Question

Use long division to convert 3 3/8 to a decimal. (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To convert 3 3/8 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction.
3 3/8 = (8 × 3 + 3)/8 = 27/8

Step 2: Perform long division by dividing the numerator (27) by the denominator (8).

3.375
----------
8|27

Step 3: Start by dividing 8 into 27. The quotient will be placed on top of the division symbol.

3.375
----------
8|27
-24
------
3

Step 4: Multiply the quotient (3) by the divisor (8) and subtract it from the numerator (27). Write the result below the line.

3.375
----------
8|27
-24
------
3

Step 5: Bring down the next digit (0) from the decimal part of the mixed number.

3.375
----------
8|27
-24
------
30

Step 6: Divide the new number (30) by the divisor (8) and write the quotient on top of the division symbol.

3.375
----------
8|27
-24
------
3
-24
------
6

Step 7: Repeat the process of multiplying the quotient (0) by the divisor (8) and subtracting it from the numerator (6).

3.375
----------
8|27
-24
------
3
-24
------
60
-56
------
4

Step 8: Bring down the next digit (0). Since there are no more digits, the division process ends.

3.375
----------
8|27
-24
------
3
-24
------
60
-56
------
40

Step 9: The remainder (4) is less than the divisor (8), so the decimal part is complete.

Hence, 3 3/8 as a decimal is approximately 3.375.

Answer 3

[AI-generated answer — Explain Bot]

To convert 3 3/8 to a decimal, you can use long division. Here's how:

1. Write down the whole number part, which is 3, followed by a decimal point.
3.

2. Convert the fraction 3/8 to a decimal. To do this, write down the numerator (3) as the dividend and the denominator (8) as the divisor.
3 ÷ 8

3. Perform the long division. Start by dividing 3 by 8. The result is 0.375.
_0.375
8|3.000
-24
----
0.00
-0
----
0

4. The result is 0.375. Therefore, 3 3/8 as a decimal is 3.375.

So, 3 3/8 is equal to 3.375 as a decimal.