Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert 3 4/5 to a decimal, we can use long division.

First, rewrite the mixed number as an improper fraction:
3 4/5 = (3 * 5 + 4) / 5 = 19/5

Now, perform long division:
3.8
---------
5|19.0

The 5 goes into 19 three times (5 * 3 = 15), so write a 3 above the line and subtract 15 from 19:

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

Bring down the next digit, which is a 0. The 5 goes into 40 eight times (5 * 8 = 40), so write an 8 above the line and subtract 40 from 40:

3.84
------
5|19.0
-15
------
40
- 40
----
00

Since the remainder is 0, we have completed the long division.

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

Answer 2

Use long division to convert 13/20 to a decimal.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To convert 13/20 to a decimal, we can use long division.

0.65
―――――――――
20|13.00

The 20 goes into 13 zero times, so write a 0 above the line. Place a decimal point above the division line and a 0 beside it in the quotient. Multiply 0 by 20 and subtract the result from 13:

0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00

Bring down the next digit, which is a 0. The 20 goes into 130 six times (20 * 6 = 120), so write a 6 above the line. Multiply 6 by 20 and subtract the result from 130:

0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
-12.00
―――――――――
100

Bring down another 0. The 20 goes into 100 five times (20 * 5 = 100), so write a 5 above the line. Multiply 5 by 20 and subtract the result from 100:

0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
-12.00
―――――――――
100
- 100
―――――――――
00

Since the remainder is 0, we have completed the long division.

Therefore, 13/20 is equal to 0.65 as a decimal.

Answer 4

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

To convert 3 4/5 to a decimal, we can use long division. First, we rewrite 3 4/5 as an improper fraction.

3 4/5 = (3 × 5 + 4) / 5 = 19/5

Now, let's perform long division:

3.8
__________
5 | 19.00

We divide 19 by 5, which gives us a whole number quotient of 3. The remainder is 4.

Next, we bring down the 0 from the decimal:

3.8
__________
5 | 19.00
-15
______
40

Since we have a remainder of 4 and need to continue dividing, we add a placeholder of 0 after the decimal point and bring down another 0:

3.84
__________
5 | 19.00
-15
______
40
-40
_______
00

This time, when we divide 40 by 5, it evenly divides and there is no remainder. Therefore, the decimal representation of 3 4/5 is 3.84.

Thus, 3 4/5 = 3.84 as a decimal.

Answer 5

[AI-generated answer — Explain Bot]

To convert a mixed number like 3 4/5 to a decimal, you can use long division. Here's how you can do it:

Step 1: Write the mixed number as an improper fraction.
To do this, multiply the whole number (3) by the denominator of the fraction (5) and add it to the numerator (4). This gives us:
3 * 5 + 4 = 15 + 4 = 19

So, the mixed number 3 4/5 can be written as the improper fraction 19/5.

Step 2: Perform long division.
Divide the numerator (19) by the denominator (5). Write the quotient (the result of the division) above the division symbol and continue the division.

```
______
5 | 19
```

Start by dividing 19 by 5: 19 ÷ 5 = 3 with a remainder of 4. Write the quotient (3) above the division symbol and bring down the remainder (4) next to it.

```
3
2 | 10
- 10
----
0
```

Now, we need to add a decimal point and a zero to the dividend and continue the division. Place a decimal point above the division symbol and add a zero after the remainder (4).

```
3.
5 | 40
- 35
----
50
```

Divide 50 by 5: 50 ÷ 5 = 10. Write the quotient (10) above the division symbol.

```
3.10
5 | 40
- 35
----
50
```

Since there is no remainder, the division is complete.

Step 3: The final result is the quotient with the decimal point.
So, 3 4/5 can be expressed as the decimal 3.10