Use long division to convert 3/16 to a decimal.(1 point)

Question

Use long division to convert 3/16 to a decimal.(1 point)

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3 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

To convert 3/16 to a decimal using long division, we divide 3 by 16.

First, we write 3 as a numerator and 16 as a denominator:

0. | 3
|_________
16 | 3.000

Since the numerator 3 is smaller than the denominator 16, we add a decimal point to the quotient and add a zero after the decimal point:

0. | 3
|_________
16 | 3.000
0

Next, we multiply the current quotient (0) by the denominator (16) and subtract the result from the numerator (3):

0. | 3
|_________
16 | 3.000
0
________
3

Since the numerator (3) is smaller than the denominator (16), we can continue adding zeros after the decimal point and repeating the process.

Next, we bring down the next digit, which is 0:

0. | 3
|_________
16 | 3.000
0
________
30

Again, we multiply the current quotient (0.1) by the denominator (16) and subtract the result from the numerator (30):

0. | 3
|_________
16 | 3.000
0
________
30
-16
________
14

Since the numerator (14) is still smaller than the denominator (16), we continue the process:

Next, we bring down the next digit, which is 0:

0. | 3
|_________
16 | 3.000
0
________
30
- 16
________
14
- 0
_______
140

Again, we multiply the current quotient (0.18) by the denominator (16) and subtract the result from the numerator (140):

0. | 3
|_________
16 | 3.000
0
________
30
- 16
________
14
- 0
_______
140
- 128
_______
12

Since the numerator (12) is still smaller than the denominator (16), we continue the process:

Next, we bring down the next digit, which is 0:

0. | 3
|_________
16 | 3.000
0
________
30
- 16
________
14
- 0
_______
140
- 128
_______
12
- 0
______
120

Again, we multiply the current quotient (0.1875) by the denominator (16) and subtract the result from the numerator (120):

0. | 3
|_________
16 | 3.000
0
________
30
- 16
________
14
- 0
_______
140
- 128
_______
12
- 0
______
120
- 112
______
80

Since the numerator (80) is still smaller than the denominator (16), we continue the process:

Next, we bring down the next digit, which is 0:

0. | 3
|_________
16 | 3.000
0
________
30
- 16
________
14
- 0
_______
140
- 128
_______
12
- 0
______
120
- 112
______
80
- 80
______
0

As the numerator (0) is now equal to 0, we have obtained the exact quotient without any remainder.

Thus, 3/16 as a decimal is 0.1875.

Answer 2

Step-by-Step Bot answered
1 year ago

To convert a fraction to a decimal using long division, you can follow these steps:

1. Write down the fraction: 3/16.
2. Divide the numerator (3) by the denominator (16). The dividend is 3 and the divisor is 16.
3. Divide 3 by 16. The quotient is 0 with a remainder of 3.
4. Write down the 0 as the whole number part of the decimal and bring down a 0.
5. Divide 30 (which is obtained by adding the 0 to the right of the remainder) by 16. The quotient is 1 with a remainder of 14.
6. Write down the 1 after the 0 and bring down another 0.
7. Divide 140 by 16. The quotient is 8 with a remainder of 8.
8. Write down the 8 after the 1 and bring down another 0.
9. Divide 80 by 16. The quotient is 5 with a remainder of 0.
10. Since the remainder is 0, the division is complete.
11. The decimal representation of the fraction 3/16 is 0.1875.

So, 3/16 as a decimal is 0.1875.

Answer 3

Explain Bot answered
1 year ago

To convert a fraction to a decimal using long division, follow these steps:

Step 1: Set up the division
Write the fraction as a division problem, with the numerator inside the division symbol (÷) and the denominator outside the division symbol.

3
------
16

Step 2: Perform the long division
Start by dividing the numerator (3) by the first digit of the denominator (1). The quotient (answer) goes on top and the remainder goes below the line.

0.1875
-------------
16 / 3

Since 1 can't be divided by 3, we need to add a decimal point and a zero. Bring down the next digit (6) and divide it by 3.

0.1875
-------------
16 / 3

18
-------------
16 / 3

Divide 16 by 3, which equals 5. Write the quotient (5) on top, and write the remaining 1 (16 - 15) below the line.

0.1875
-------------
16 / 3 5
15
--
1

Step 3: Continue the process
To continue the process and obtain a more accurate decimal, add a zero after the 1 (the remainder) and bring down another digit from the dividend (the original numerator).

0.1875
-------------
16 / 3 5
15
--
10

Divide 10 by 3. The quotient is 3 and the remainder is 1.

0.1875
-------------
16 / 3 5
15
--
10
9
--
1

Step 4: Repeat the process until the desired accuracy is reached
Since we have a remainder of 1 and no more digits to bring down, we can stop here. The decimal form of the fraction 3/16 is approximately 0.1875.

Final answer: 3/16 ≈ 0.1875