Use long division to convert 3/16 to a decimal. please show me how to do the
work
To convert the fraction 3/16 to a decimal using long division, follow these steps:
1. Start by dividing the numerator (3) by the denominator (16) and place the decimal point above the division bar: 0.
- 3 ÷ 16 = 0.
2. Multiply the divisor (16) by the quotient digit (0), and subtract the result from the numerator (3):
- 3 - 0 × 16 = 3.
3. Bring down the next digit from the dividend (0) after the subtraction:
0._____
16 │ 3.00
4. Since the result of subtraction (3) is smaller than the divisor (16), add a zero after the decimal point in the quotient:
0.0_____
16 │ 3.00
5. Multiply the divisor (16) by the quotient digit (0), and subtract the result from the new dividend (30):
- 30 - 0 × 16 = 30.
6. Bring down the next digit from the dividend (0) after the subtraction:
0.00_____
16 │ 3.00
7. In this case, 30 is still smaller than 16, so add another zero to the quotient:
0.00_____
16 │ 3.00
8. Multiply the divisor (16) by the quotient digit (0), and subtract the result from the new dividend (300):
- 300 - 0 × 16 = 300.
9. Bring down the next digit from the dividend (0) after the subtraction:
0.003_____
16 │ 3.00
10. Now, 300 is larger than the divisor (16), so divide 300 by 16 to obtain a quotient, and place the result above the current division bar:
0.0037_____
16 │ 3.00
11. Multiply the divisor (16) by the quotient digit (3), and subtract the result from the new dividend (300):
- 300 - 3 × 16 = 252.
12. Bring down the next digit from the dividend (7) after the subtraction:
0.00375_____
16 │ 3.00
13. Divide 252 by 16 to obtain a new quotient digit (15), and place it above the current division bar:
0.00375_____
16 │ 3.001
14. Multiply the divisor (16) by the new quotient digit (15), and subtract the result from the new dividend (252):
- 252 - 15 × 16 = 12.
15. As there is no more dividend to bring down after the subtraction, the long division process ends here.
Therefore, 3/16 as a decimal is approximately 0.1875.
Use long division to convert 3 4/5 to a decimal.
To convert the mixed number 3 4/5 to a decimal using long division, follow these steps:
1. Convert the mixed number to an improper fraction:
- Multiply the whole number (3) by the denominator of the fraction (5): 3 × 5 = 15.
- Add the result to the numerator (4): 15 + 4 = 19.
- Write the sum as the new numerator over the denominator: 19/5.
2. Start by dividing the new numerator (19) by the denominator (5) and place the decimal point above the division bar: 3.
- 19 ÷ 5 = 3.
3. Multiply the divisor (5) by the quotient digit (3), and subtract the result from the numerator (19):
- 19 - 3 × 5 = 19 - 15 = 4.
4. Bring down the next digit from the dividend (0) after the subtraction:
3._____
5 │ 19.00
5. Since the result of subtraction (4) is smaller than the divisor (5), add a zero after the decimal point in the quotient:
3.0_____
5 │ 19.00
6. Multiply the divisor (5) by the quotient digit (3), and subtract the result from the new dividend (40):
- 40 - 3 × 5 = 40 - 15 = 25.
7. Bring down the next digit from the dividend (0) after the subtraction:
3.04_____
5 │ 19.00
8. Divide 25 by 5 to obtain a new quotient digit (5), and place it above the current division bar:
3.045_____
5 │ 19.00
9. Multiply the divisor (5) by the new quotient digit (5), and subtract the result from the new dividend (25):
- 25 - 5 × 5 = 25 - 25 = 0.
10. As there is no more dividend to bring down after the subtraction, the long division process ends here.
Therefore, 3 4/5 as a decimal is exactly 3.8.
To convert the fraction 3/16 to a decimal using long division, follow these steps:
Step 1: Set up the division:
___
16 | 3
Step 2: Divide the first digit of the numerator by the denominator:
16 goes into 3 zero times, so place a 0 above the division bar:
0
---
16 | 3
Step 3: Bring down the next digit from the numerator (in this case, 3):
16 goes into 33 two times, so write the 2 above the division bar:
02
---
16 | 33
Step 4: Multiply the divisor (16) by the Quotient (2) and subtract it from the dividend (33):
Multiply 16 by 2: 16 x 2 = 32
Subtract 32 from 33: 33 - 32 = 1
Write the result (1) below the subtraction line:
02
---
16 | 33
- 32
1
Step 5: Bring down another digit from the numerator (if there's any):
Since there's no more digit to bring down, continue with the process using a decimal point:
16 goes into 10 zero times, so write a decimal point (.) and a 0 above the division bar:
02.
---
16 | 33
- 32
10
Step 6: Add a zero after the decimal point and continue the division:
Bring down another zero from the numerator:
16 goes into 100 six times, so write the 6 above the division bar:
02.06
---
16 | 33
- 32
100
- 96
4
Step 7: Repeat Step 6 until you have enough decimal places or reach a repeating pattern:
Since we don't want to find the repeating fraction, we will stop here since we have enough decimal places.
Step 8: The final result is 3/16 = 0.1875
Therefore, 3/16 as a decimal is 0.1875.