Use long division to convert 3/16 to a decimal.
To convert a fraction to a decimal using long division, follow these steps:
1. Divide the numerator (the number on top, which is 3 in this case) by the denominator (the number on the bottom, which is 16 in this case).
- 3 ÷ 16 = 0.1875
2. Write down the quotient (the result of the division) and the decimal point.
So, 3/16 as a decimal is approximately 0.1875.
Use long division to convert 11/20 to a decima
To convert 11/20 to a decimal using long division, follow these steps:
1. Divide the numerator (11) by the denominator (20).
- 11 ÷ 20 = 0.55
2. Write down the quotient (the result of the division) and the decimal point.
So, 11/20 as a decimal is 0.55.
Use long division to convert 3 4/5 to a decimal.
To convert 3 4/5 to a decimal using long division, follow these steps:
1. Convert the mixed number 3 4/5 to an improper fraction. Multiply the whole number (3) by the denominator (5) and add the numerator (4) to get the new numerator. Keep the denominator as it is.
- 3 4/5 = (3 × 5 + 4) / 5 = 15 + 4 / 5 = 19/5
2. Divide the numerator (19) by the denominator (5).
- 19 ÷ 5 = 3.8
3. Write down the quotient (the result of the division) and the decimal point.
So, 3 4/5 as a decimal is 3.8.
Use long division to convert 13/20 to a decimal
To convert 13/20 to a decimal using long division, follow these steps:
1. Divide the numerator (13) by the denominator (20).
- 13 ÷ 20 = 0.65
2. Write down the quotient (the result of the division) and the decimal point.
So, 13/20 as a decimal is 0.65.
Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.
To convert 2/9 to a decimal using long division, follow these steps:
1. Divide the numerator (2) by the denominator (9).
- 2 ÷ 9 = 0.222...
2. Continue the division until you achieve the desired level of decimal places. In this case, one decimal place.
2.0
----
9| 2.00
-18
----
20
-18
----
20
3. Write down the quotient (the result of the division) with one decimal place.
So, 2/9 as a decimal approximation with one decimal place is approximately 0.2.
To convert a fraction to a decimal using long division, follow these steps:
1. Write the fraction as a division problem: Place the numerator (3) inside the division symbol (÷) and the denominator (16) outside the division symbol.
```
0. ___
16 ) 3
```
2. Perform the division: Divide 3 by 16. Write the quotient (result of division) above the division symbol, directly to the right of the decimal point. If needed, add zeros after the decimal point to continue the division process.
```
0.1875
---------
16 ) 3
```
- 16 does not go into 3, so we put a 0 before the decimal point.
3. Multiply and subtract: Multiply the quotient (0) by the divisor (16) and subtract the result from the numerator (3). Write the new number below, aligned with the numerator.
```
0.1875
---------
16 ) 3.0
- 0
-----
30
```
- Multiply 0 by 16: 0 × 16 = 0
- Subtract 0 from 3: 3 - 0 = 3
4. Bring down the next digit: Bring down the next digit of the dividend (30) to the right of the previous remainder (3).
```
0.1875
---------
16 ) 3.0
- 0
-----
30
```
- Bring down the next digit, which is 0.
5. Continue the process: Repeat steps 2 to 4 until you either reach the desired level of decimal places or the remainder becomes zero.
```
0.1875
---------
16 ) 3.00
- 0
-----
30
- 32
-----
-20
```
- Multiply 0 by 16: 0 × 16 = 0
- Subtract 0 from 30: 30 - 0 = 30
- Multiply 0 by 16: 0 × 16 = 0
- Subtract 0 from 30: 30 - 0 = 30
6. Final result: The quotient you obtained is 0.1875.
Therefore, the decimal representation of the fraction 3/16 is 0.1875.