Use the long divisions to convert 3/16 to a decimal???
To convert the fraction 3/16 to a decimal using long division, follow these steps:
1. Divide the numerator (3) by the denominator (16). Write the quotient above the division bar.
- 3 ÷ 16 = 0. (The decimal part is currently 0.)
2. Multiply the quotient by 10 and write the result under the dividend.
- 0 × 10 = 0
3. Subtract the result from step 2 from the numerator (3) and write the difference below the line.
- 3 - 0 = 3
4. Bring down the next digit of the dividend (which is 0) and write it beside the difference from the previous step.
- The new number is 30.
5. Repeat steps 2 to 4 until there is a remainder of 0 or the desired level of accuracy is achieved.
- Multiply the current quotient (0) by 10: 0 × 10 = 0.
- Subtract and bring down: 30 - 0 = 30.
6. Continue this process. Multiply the current quotient (0) by 10: 0 × 10 = 0.
- Subtract and bring down: 30 - 0 = 30.
7. Multiply the current quotient (0) by 10: 0 × 10 = 0.
- Subtract and bring down: 30 - 0 = 30.
8. Multiply the current quotient (0) by 10: 0 × 10 = 0.
- Subtract and bring down: 30 - 0 = 30.
9. The remainder is now 0, so the division is complete.
Since there is no remainder, the decimal representation of 3/16 is 0.1875.
Use the long divisions to convert 11/20 to a decimal.
To convert the fraction 11/20 to a decimal using long division, follow these steps:
1. Divide the numerator (11) by the denominator (20). Write the quotient above the division bar.
- 11 ÷ 20 = 0.55 (The decimal part is currently 0.55.)
2. Multiply the quotient by 10 and write the result under the dividend.
- 0.55 × 10 = 5.5
3. Subtract the result from step 2 from the numerator (11) and write the difference below the line.
- 11 - 5.5 = 5.5
4. Bring down the next digit of the dividend (which is 0) and write it beside the difference from the previous step.
- The new number is 55.
5. Repeat steps 2 to 4 until there is a remainder of 0 or the desired level of accuracy is achieved.
- Multiply the current quotient (0.55) by 10: 0.55 × 10 = 5.5.
- Subtract and bring down: 55 - 5.5 = 49.5.
6. Continue this process. Multiply the current quotient (0.55) by 10: 0.55 × 10 = 5.5.
- Subtract and bring down: 49.5 - 5.5 = 44.
7. Multiply the current quotient (0.55) by 10: 0.55 × 10 = 5.5.
- Subtract and bring down: 44 - 5.5 = 38.5.
8. Multiply the current quotient (0.55) by 10: 0.55 × 10 = 5.5.
- Subtract and bring down: 38.5 - 5.5 = 33.
9. Multiply the current quotient (0.55) by 10: 0.55 × 10 = 5.5.
- Subtract and bring down: 33 - 5.5 = 27.5.
10. Multiply the current quotient (0.55) by 10: 0.55 × 10 = 5.5.
- Subtract and bring down: 27.5 - 5.5 = 22.
11. Multiply the current quotient (0.55) by 10: 0.55 × 10 = 5.5.
- Subtract and bring down: 22 - 5.5 = 16.5.
12. The remainder is now 16.5.
Since the remainder is not 0 and the desired level of accuracy has not been achieved yet, you can either continue the long division or round the result to an appropriate decimal place. If you choose to round, the decimal representation of 11/20 rounded to two decimal places is 0.55.
Use the long divisions 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 (5), then add the numerator (4) to get the new numerator. Write this as the numerator of the fraction with the denominator (5).
- 3 × 5 + 4 = 15 + 4 = 19
- The fraction is now 19/5.
2. Divide the numerator (19) by the denominator (5). Write the quotient above the division bar.
- 19 ÷ 5 = 3. (The decimal part is currently 3.)
3. Multiply the quotient by 10 and write the result under the dividend.
- 3 × 10 = 30
4. Subtract the result from step 3 from the numerator (19) and write the difference below the line.
- 19 - 30 = -11
5. Bring down the next digit of the dividend (which is 0) and write it beside the difference from the previous step.
- The new number is -110.
6. Repeat steps 3 to 5 until there is a remainder of 0 or the desired level of accuracy is achieved.
- Multiply the current quotient (3) by 10: 3 × 10 = 30.
- Subtract and bring down: -110 - 30 = -140.
7. Multiply the current quotient (3) by 10: 3 × 10 = 30.
- Subtract and bring down: -140 - 30 = -170.
8. Multiply the current quotient (3) by 10: 3 × 10 = 30.
- Subtract and bring down: -170 - 30 = -200.
9. The remainder is now -200.
Since the remainder is not 0 and the desired level of accuracy has not been achieved yet, you can either continue the long division or round the result to an appropriate decimal place. If you choose to round, the decimal representation of 3 4/5 rounded to two decimal places is 3.80.
Use the long divisions to convert 13/20 to a decimal.
To convert the fraction 13/20 to a decimal using long division, follow these steps:
1. Divide the numerator (13) by the denominator (20). Write the quotient above the division bar.
- 13 ÷ 20 = 0.65 (The decimal part is currently 0.65.)
2. Multiply the quotient by 10 and write the result under the dividend.
- 0.65 × 10 = 6.5
3. Subtract the result from step 2 from the numerator (13) and write the difference below the line.
- 13 - 6.5 = 6.5
4. Bring down the next digit of the dividend (which is 0) and write it beside the difference from the previous step.
- The new number is 65.
5. Repeat steps 2 to 4 until there is a remainder of 0 or the desired level of accuracy is achieved.
- Multiply the current quotient (0.65) by 10: 0.65 × 10 = 6.5.
- Subtract and bring down: 65 - 6.5 = 58.5.
6. Continue this process. Multiply the current quotient (0.65) by 10: 0.65 × 10 = 6.5.
- Subtract and bring down: 58.5 - 6.5 = 52.
7. Multiply the current quotient (0.65) by 10: 0.65 × 10 = 6.5.
- Subtract and bring down: 52 - 6.5 = 45.5.
8. Multiply the current quotient (0.65) by 10: 0.65 × 10 = 6.5.
- Subtract and bring down: 45.5 - 6.5 = 39.
9. Multiply the current quotient (0.65) by 10: 0.65 × 10 = 6.5.
- Subtract and bring down: 39 - 6.5 = 32.5.
10. Multiply the current quotient (0.65) by 10: 0.65 × 10 = 6.5.
- Subtract and bring down: 32.5 - 6.5 = 26.
11. Multiply the current quotient (0.65) by 10: 0.65 × 10 = 6.5.
- Subtract and bring down: 26 - 6.5 = 19.5.
12. The remainder is now 19.5.
Since the remainder is not 0 and the desired level of accuracy has not been achieved yet, you can either continue the long division or round the result to an appropriate decimal place. If you choose to round, the decimal representation of 13/20 rounded to two decimal places is 0.65.