To convert 3/16 into a decimal using long division, follow these steps:
1. Set up the long division problem by placing 3 as the dividend inside the division bar and 16 as the divisor outside the division bar.
______
16 | 3
2. Determine how many times 16 can go into 3 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 16 cannot go into 3, so the quotient is 0.
0
______
16 | 3
3. Multiply the quotient (0) by the divisor (16) and subtract the product from the dividend.
0
______
16 | 3
- 0
___________
3
4. Since there are no more digits in the dividend, bring down the next digit. In this case, bring down a 0.
0
______
16 | 30
- 0
___________
30
5. Determine how many times 16 can go into 30 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 16 can go into 30 one time.
0.1
______
16 | 30
- 0
___________
30
6. Multiply the quotient (0.1) by the divisor (16) and subtract the product from the dividend.
0.1
______
16 | 30
- 16
___________
14
7. Since there are no more digits in the dividend, bring down another 0.
0.18
______
16 | 140
- 128
___________
120
8. Determine how many times 16 can go into 120 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 16 can go into 120 seven times.
0.1875
______
16 | 120
- 128
___________
120
- 112
___________
8
9. Since there are no more digits in the dividend, bring down another 0.
0.1875
______
16 | 80
- 128
___________
120
- 112
___________
80
10. Determine how many times 16 can go into 80 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 16 can go into 80 five times.
0.1875
______
16 | 80
- 80
___________
120
- 112
___________
80
- 80
___________
0
11. Since there are no more digits in the dividend and the remainder is 0, the long division process is complete. The quotient is 0.1875.
Therefore, 3/16 as a decimal is equal to 0.1875.
Use long division to convert 3/16 into a decimal
9 answers
Use long division to convert 11/20 to a decimal
To convert 11/20 into a decimal using long division, follow these steps:
1. Set up the long division problem by placing 11 as the dividend inside the division bar and 20 as the divisor outside the division bar.
______
20 | 11
2. Determine how many times 20 can go into 11 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 cannot go into 11, so the quotient is 0.
0
______
20 | 11
3. Multiply the quotient (0) by the divisor (20) and subtract the product from the dividend.
0
______
20 | 11
- 0
___________
11
4. Since there are no more digits in the dividend, bring down the next digit. In this case, bring down a 0.
0.5
______
20 | 110
- 100
___________
10
5. Determine how many times 20 can go into 10 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 cannot go into 10, so the quotient is 0.
0.55
______
20 | 110
- 100
___________
10
6. Multiply the quotient (0.5) by the divisor (20) and subtract the product from the dividend.
0.55
______
20 | 110
- 100
___________
10
7. Since there are no more digits in the dividend and the remainder is 10, the long division process is complete.
However, the decimal representation of 11/20 is 0.55, and it repeats. To indicate this repeating decimal, it is common to use a line above the repeating portion. Hence, the decimal representation of 11/20 is 0.55 with a line above the 5, indicating the repetition.
1. Set up the long division problem by placing 11 as the dividend inside the division bar and 20 as the divisor outside the division bar.
______
20 | 11
2. Determine how many times 20 can go into 11 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 cannot go into 11, so the quotient is 0.
0
______
20 | 11
3. Multiply the quotient (0) by the divisor (20) and subtract the product from the dividend.
0
______
20 | 11
- 0
___________
11
4. Since there are no more digits in the dividend, bring down the next digit. In this case, bring down a 0.
0.5
______
20 | 110
- 100
___________
10
5. Determine how many times 20 can go into 10 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 cannot go into 10, so the quotient is 0.
0.55
______
20 | 110
- 100
___________
10
6. Multiply the quotient (0.5) by the divisor (20) and subtract the product from the dividend.
0.55
______
20 | 110
- 100
___________
10
7. Since there are no more digits in the dividend and the remainder is 10, the long division process is complete.
However, the decimal representation of 11/20 is 0.55, and it repeats. To indicate this repeating decimal, it is common to use a line above the repeating portion. Hence, the decimal representation of 11/20 is 0.55 with a line above the 5, indicating the repetition.
Use long division to convert 3 and 4/5 into a decimal
To convert 3 and 4/5 into a decimal using long division, follow these steps:
1. First, convert the mixed number 3 and 4/5 into an improper fraction. To do this, multiply the whole number (3) by the denominator of the fraction (5) and add the numerator (4). The result will be the new numerator, while the denominator remains the same.
3 × 5 + 4 = 15 + 4 = 19
So, 3 and 4/5 can be written as the improper fraction 19/5.
2. Set up the long division problem by placing 19 as the dividend inside the division bar and 5 as the divisor outside the division bar.
_____
5 | 19
3. Determine how many times 5 can go into 19 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 5 can go into 19 three times.
3
_____
5 | 19
4. Multiply the quotient (3) by the divisor (5) and subtract the product from the dividend.
3
_____
5 | 19
- 15
_________
4
5. Since there are no more digits in the dividend, and the remainder is 4, we can bring down a 0 and continue the division process.
3.8
______
5 | 40
- 40
_________
0
6. Now, there are no more digits in the dividend, and the remainder is 0. The division is complete.
Therefore, 3 and 4/5 as a decimal is equal to 3.8.
1. First, convert the mixed number 3 and 4/5 into an improper fraction. To do this, multiply the whole number (3) by the denominator of the fraction (5) and add the numerator (4). The result will be the new numerator, while the denominator remains the same.
3 × 5 + 4 = 15 + 4 = 19
So, 3 and 4/5 can be written as the improper fraction 19/5.
2. Set up the long division problem by placing 19 as the dividend inside the division bar and 5 as the divisor outside the division bar.
_____
5 | 19
3. Determine how many times 5 can go into 19 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 5 can go into 19 three times.
3
_____
5 | 19
4. Multiply the quotient (3) by the divisor (5) and subtract the product from the dividend.
3
_____
5 | 19
- 15
_________
4
5. Since there are no more digits in the dividend, and the remainder is 4, we can bring down a 0 and continue the division process.
3.8
______
5 | 40
- 40
_________
0
6. Now, there are no more digits in the dividend, and the remainder is 0. The division is complete.
Therefore, 3 and 4/5 as a decimal is equal to 3.8.
Use long division to convert 13/20 to a decimal
To convert 13/20 into a decimal using long division, follow these steps:
1. Set up the long division problem by placing 13 as the dividend inside the division bar and 20 as the divisor outside the division bar.
______
20 | 13
2. Determine how many times 20 can go into 13 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 cannot go into 13, so the quotient is 0.
0
______
20 | 13
3. Multiply the quotient (0) by the divisor (20) and subtract the product from the dividend.
0
______
20 | 13
- 0
___________
13
4. Since there are no more digits in the dividend, bring down the next digit. In this case, bring down a 0.
0.6
______
20 | 130
- 0
___________
130
5. Determine how many times 20 can go into 130 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 can go into 130 six times.
0.65
______
20 | 130
- 120
___________
10
6. Multiply the quotient (0.6) by the divisor (20) and subtract the product from the dividend.
0.65
______
20 | 130
- 120
___________
10
7. Since there is no remainder and no more digits in the dividend, the division is complete.
Therefore, 13/20 as a decimal is equal to 0.65.
1. Set up the long division problem by placing 13 as the dividend inside the division bar and 20 as the divisor outside the division bar.
______
20 | 13
2. Determine how many times 20 can go into 13 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 cannot go into 13, so the quotient is 0.
0
______
20 | 13
3. Multiply the quotient (0) by the divisor (20) and subtract the product from the dividend.
0
______
20 | 13
- 0
___________
13
4. Since there are no more digits in the dividend, bring down the next digit. In this case, bring down a 0.
0.6
______
20 | 130
- 0
___________
130
5. Determine how many times 20 can go into 130 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 20 can go into 130 six times.
0.65
______
20 | 130
- 120
___________
10
6. Multiply the quotient (0.6) by the divisor (20) and subtract the product from the dividend.
0.65
______
20 | 130
- 120
___________
10
7. Since there is no remainder and no more digits in the dividend, the division is complete.
Therefore, 13/20 as a decimal is equal to 0.65.
Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place
To convert 2/9 into a decimal using long division, follow these steps:
1. Set up the long division problem by placing 2 as the dividend inside the division bar and 9 as the divisor outside the division bar.
_____
9 | 2
2. Determine how many times 9 can go into 2 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 9 cannot go into 2, so the quotient is 0.
0
_____
9 | 2
3. Since 9 cannot go into 2, add a decimal point and a 0 after the dividend.
0.
_____
9 | 2.0
4. Multiply the 0 quotient by the divisor (9) and subtract the product from the dividend.
0.
_____
9 | 2.0
- 0
______
2
5. Since there is a remainder, bring down a 0 after the 2.
0.2
_____
9 | 2.00
- 0
______
20
6. Determine how many times 9 can go into 20 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 2 is the closest whole number that 9 can go into 20, without exceeding it.
0.2
_____
9 | 2.00
- 18
______
20
7. Multiply the 2 quotient by the divisor (9) and subtract the product from the dividend.
0.2
_____
9 | 2.00
- 18
______
20
8. Since there is still a remainder, bring down another 0.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
9. Determine how many times 9 can go into 20 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 2 is the closest whole number that 9 can go into 20, without exceeding it.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
10. Multiply the 2 quotient by the divisor (9) and subtract the product from the dividend.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
11. Since there is still a remainder, bring down another 0.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
- 18
______
20
12. Determine how many times 9 can go into 20 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 2 is the closest whole number that 9 can go into 20, without exceeding it.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
- 18
______
20
13. Multiply the 2 quotient by the divisor (9) and subtract the product from the dividend.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
- 18
______
20
14. Since there is still a remainder, bring down another 0.
0.222
_____
9 | 2.0000
- 18
______
20
- 18
______
20
- 18
______
20
- 18
______
20
15. We can see that the remainder is repeating as 20. Therefore, the decimal representation of 2/9, approximated to one decimal place, is 0.2.
Hence, 2/9 = 0.2.
1. Set up the long division problem by placing 2 as the dividend inside the division bar and 9 as the divisor outside the division bar.
_____
9 | 2
2. Determine how many times 9 can go into 2 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 9 cannot go into 2, so the quotient is 0.
0
_____
9 | 2
3. Since 9 cannot go into 2, add a decimal point and a 0 after the dividend.
0.
_____
9 | 2.0
4. Multiply the 0 quotient by the divisor (9) and subtract the product from the dividend.
0.
_____
9 | 2.0
- 0
______
2
5. Since there is a remainder, bring down a 0 after the 2.
0.2
_____
9 | 2.00
- 0
______
20
6. Determine how many times 9 can go into 20 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 2 is the closest whole number that 9 can go into 20, without exceeding it.
0.2
_____
9 | 2.00
- 18
______
20
7. Multiply the 2 quotient by the divisor (9) and subtract the product from the dividend.
0.2
_____
9 | 2.00
- 18
______
20
8. Since there is still a remainder, bring down another 0.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
9. Determine how many times 9 can go into 20 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 2 is the closest whole number that 9 can go into 20, without exceeding it.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
10. Multiply the 2 quotient by the divisor (9) and subtract the product from the dividend.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
11. Since there is still a remainder, bring down another 0.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
- 18
______
20
12. Determine how many times 9 can go into 20 without exceeding it, and write the quotient above the division bar, right above the dividend. In this case, 2 is the closest whole number that 9 can go into 20, without exceeding it.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
- 18
______
20
13. Multiply the 2 quotient by the divisor (9) and subtract the product from the dividend.
0.22
_____
9 | 2.000
- 18
______
20
- 18
______
20
- 18
______
20
14. Since there is still a remainder, bring down another 0.
0.222
_____
9 | 2.0000
- 18
______
20
- 18
______
20
- 18
______
20
- 18
______
20
15. We can see that the remainder is repeating as 20. Therefore, the decimal representation of 2/9, approximated to one decimal place, is 0.2.
Hence, 2/9 = 0.2.