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

Answer 1

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.