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

19 answers

First, set up the long division problem by dividing 3 by 16:

0.1875
__________
16 | 3.000

Next, start dividing. 16 can go into 3 zero times, so write a 0 above the division bar.

0.1875
__________
16 | 3.000
0

Multiply 16 by 0, which equals 0. Subtract 0 from 3, which gives you 3. Bring down the next digit, which is 0.

0.1875
__________
16 | 3.000
0
- 0

Bring down the next digit, which is 0. Divide 16 into 30. The quotient is 1, so write a 1 above the division bar. Multiply 16 by 1, which equals 16. Subtract 16 from 30 to get 14.

0.1875
__________
16 | 3.000
0 1
-16
14

Divide 16 into 140. The quotient is 8, so write an 8 above the division bar. Multiply 16 by 8, which equals 128. Subtract 128 from 140 to get 12.

0.1875
__________
16 | 3.000
0 1 8
-16 1
12

Divide 16 into 120. The quotient is 7, so write a 7 above the division bar. Multiply 16 by 7, which equals 112. Subtract 112 from 120 to get 8.

0.1875
__________
16 | 3.000
0 1 8 7
-16 1 1
8

Divide 16 into 80. The quotient is 5, so write a 5 above the division bar. Multiply 16 by 5, which equals 80. Subtract 80 from 80 to get 0.

0.1875
__________
16 | 3.000
0 1 8 7 5
-16 1 1 0
0

Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.1875.

Therefore, 3/16 can be written as the decimal 0.1875.
Use long division to convert 11/20 to a decimal.(1 point)

Use long division to convert 3 4/5 to a decimal.

Use long division to convert 13/20 to a decimal.(1 point)
To convert 11/20 to a decimal using long division:

0.55
_________
20 | 11.00

Divide 20 into 11. The quotient is 0.55, so write 0.55 above the division bar.

0.55
_________
20 | 11.00
10
- 10

Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.55.

Therefore, 11/20 can be written as the decimal 0.55.

To convert 3 4/5 to a decimal using long division:

First, convert the mixed number to an improper fraction. 3 4/5 can be written as 19/5.

3.8
______
5 | 19.00

Divide 5 into 19. The quotient is 3.8, so write 3.8 above the division bar.

3.8
______
5 | 19.00
15
- 15

Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 3.8.

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

To convert 13/20 to a decimal using long division:

0.65
_________
20 | 13.00

Divide 20 into 13. The quotient is 0.65, so write 0.65 above the division bar.

0.65
_________
20 | 13.00
10
- 10

Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.65.

Therefore, 13/20 can be written as the decimal 0.65.
Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.(1 point)
To convert 2/9 to a decimal using long division:

0.2
________
9 | 2.00

Divide 9 into 2. Since 9 is larger than 2, we need to add a decimal point and a zero after the 2. The quotient is approximately 0.2, so write 0.2 above the division bar.

0.2
________
9 | 2.00
-1

Multiply 9 by 2, which equals 18. Subtract 18 from 20 to get 2.

0.2
________
9 | 2.00
-1.8
2

Bring down the next digit, which is 0. Divide 9 into 20. The quotient is 2, so write 2 above the division bar. Multiply 9 by 2, which equals 18. Subtract 18 from 20 to get 2.

0.2
________
9 | 2.00
-1.8 0
2

Bring down another zero and continue the division. Divide 9 into 20. The quotient is 2, so write 2 above the division bar. Multiply 9 by 2, which equals 18. Subtract 18 from 20 to get 2.

0.2
________
9 | 2.00
-1.8 0 2
2

We can see that the division is repeating now. Since we are asked for an approximation with one decimal place, we can stop here. The quotient is approximately 0.2.

Therefore, 2/9 can be approximated as the decimal 0.2.
Use long division to convert 27/50 to a decimal.
To convert 27/50 to a decimal using long division:

0.54
________
50 | 27.00

Divide 50 into 27. The quotient is approximately 0.54, so write 0.54 above the division bar.

0.54
________
50 | 27.00
-25

Multiply 50 by 0.54, which equals 27. Subtract 27 from 27 to get 0.

0.54
________
50 | 27.00
-25.00
2.00

Bring down the next digit, which is 0. Divide 50 into 20. The quotient is 0, so write 0 above the division bar. Multiply 50 by 0, which equals 0. Subtract 0 from 20 to get 20.

0.54
________
50 | 27.00
-25.00
2.00
-2.00
0

Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.54.

Therefore, 27/50 can be written as the decimal 0.54.
Use long division to convert 3 3/8 to a decimal.(1 point)
To convert 3 3/8 to a decimal using long division:

First, convert the mixed number to an improper fraction. 3 3/8 can be written as 27/8.

3.375
____________
8 | 27.000

Divide 8 into 27. The quotient is 3.375, so write 3.375 above the division bar.

3.375
____________
8 | 27.000
24
- 24

Since there is no remainder, we have reached the end of the division. The quotient is 3.375.

Therefore, 3 3/8 can be written as the decimal 3.375.
Use long division to convert 4/15 to a decimal.(1 point)
To convert 4/15 to a decimal using long division:

0.2666666...
____________
15 | 4.0000

Divide 15 into 4. Since 15 is larger than 4, we need to add a decimal point and a zero after the 4. The quotient is approximately 0.26, so write 0.26 above the division bar.

0.26
____________
15 | 4.0000
-3.0
10

Multiply 15 by 2, which equals 30. Subtract 30 from 40 to get 10.

0.26
____________
15 | 4.0000
-3.0 0
10

Bring down the next digit, which is 0. Divide 15 into 100. The quotient is 6, so write 6 above the division bar. Multiply 15 by 6, which equals 90. Subtract 90 from 100 to get 10.

0.26
____________
15 | 4.0000
-3.0 0 6
10

Bring down another zero and continue the division. Divide 15 into 100. The quotient is 6, so write 6 above the division bar. Multiply 15 by 6, which equals 90. Subtract 90 from 100 to get 10.

0.26
____________
15 | 4.0000
-3.0 0 6 6
10

The division keeps repeating a pattern of 26. Therefore, the decimal representation of 4/15 is 0.26(26), where the "26" part keeps repeating.

Therefore, 4/15 can be written as the decimal 0.26(26).
Use long division to convert 7/11 to a decimal.(1 point)
To convert 7/11 to a decimal using long division:

0.636363...
____________
11 | 7.0000

Divide 11 into 7. Since 11 is larger than 7, we need to add a decimal point and a zero after the 7. The quotient is approximately 0.63, so write 0.63 above the division bar.

0.63
____________
11 | 7.0000
-6.3
70

Multiply 11 by 7, which equals 77. Subtract 77 from 70 to get -7.

0.63
____________
11 | 7.0000
-6.3 0
70
- 77

Bring down the next digit, which is 0. Divide 11 into -70. The quotient is -6, so write -6 above the division bar. Multiply 11 by -6, which equals -66. Subtract -66 from -70 to get -7.

0.63
____________
11 | 7.0000
-6.3 0 -6
70
- 77
- 77

Bring down another zero and continue the division. Divide 11 into -770. The quotient is -70, so write -70 above the division bar. Multiply 11 by -70, which equals -770. Subtract -770 from -770 to get 0.

0.63
____________
11 | 7.0000
-6.3 0 -6 -7
70
- 77
- 77 0

Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.63.

Therefore, 7/11 can be written as the decimal 0.63.
Use long division to convert 5 3/16 to a decimal.(1 point)
To convert 5 3/16 to a decimal using long division:

First, convert the mixed number to an improper fraction. 5 3/16 can be written as (5*16 + 3) / 16 = 83/16.

5.1875
___________
16 | 83.0000

Divide 16 into 83. The quotient is approximately 5.1875, so write 5.1875 above the division bar.

5.1875
___________
16 | 83.0000
80
- 80

Multiply 16 by 5, which equals 80. Subtract 80 from 83 to get 3.

5.1875
___________
16 | 83.0000
-80.0000
30

Bring down the next digit, which is 0. Divide 16 into 300. The quotient is 18, so write 18 above the division bar. Multiply 16 by 18, which equals 288. Subtract 288 from 300 to get 12.

5.1875
___________
16 | 83.0000
-80.0000
30 0
- 288
12

Bring down another zero and continue the division. Divide 16 into 120. The quotient is 7, so write 7 above the division bar. Multiply 16 by 7, which equals 112. Subtract 112 from 120 to get 8.

5.1875
___________
16 | 83.0000
-80.0000
30 0 8
- 288
12 0
- 112
8

Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 5.1875.

Therefore, 5 3/16 can be written as the decimal 5.1875.
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use long division to convert 3 4/5 to a decimal.(1 point)
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