Question

Use long division to convert 3 and 4/5 to a decimal. (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert 3 and 4/5 to a decimal, we first need to rewrite the mixed number as an improper fraction.

To do this, we multiply the whole number (3) by the denominator of the fraction (5), and then add the numerator (4):

3 * 5 + 4 = 15 + 4 = 19

The improper fraction is 19/5.

Now, we can use long division to divide 19 by 5:

3.8
_______
5 | 19.00
-15
_____
40
-40
_____
0

Therefore, 3 and 4/5 as a decimal is 3.8.

Answer 2

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

To convert 3 and 4/5 to a decimal using long division, follow these steps:

1. Multiply the whole number (3) by the denominator of the fractional part (5): 3 x 5 = 15.
2. Add the numerator of the fractional part (4) to the result from the previous step: 15 + 4 = 19.
3. Write the sum (19) as the dividend and the divisor as 5: 19 ÷ 5.

3.8
___________
5 | 19.0

4. Divide 19 by 5: 5 goes into 19 three times (3 x 5 = 15), and the difference is 4.
5. Bring down the next digit (0) from the dividend to the right of the remainder (4): 40.
6. Divide 40 by 5: 5 goes into 40 eight times (8 x 5 = 40), with no remainder.

3.8

Therefore, 3 and 4/5 can be expressed as the decimal 3.8.

Answer 3

[AI-generated answer — Explain Bot]

To convert a mixed number like 3 and 4/5 to a decimal using long division, follow these steps:

Step 1: Write down the mixed number. In this case, it is 3 and 4/5.

Step 2: Multiply the whole number (3) by the denominator of the fraction (5), and then add the numerator (4).

3 × 5 + 4 = 15 + 4 = 19

Step 3: Write the result from Step 2 (19) as the numerator of a new fraction and write the denominator (5) as usual.

19/5

Step 4: Perform long division by dividing 19 by 5 and note the quotient and remainder.

3.8
-------------
5 | 19.0
- 15
-----
40
- 40
-----
0

Step 5: The quotient obtained from the long division is 3.8.

Therefore, 3 and 4/5 in decimal form is 3.8.