Use long division to convert 4/15 to a decimal
~0.27
26
3.75
4.15
To convert 4/15 to a decimal using long division:
First, set up the long division as follows:
0. | 4
15
Next, divide 4 by 15. The result is 0 with a remainder of 4. Write the 0 above the division line as the whole number part of the quotient.
Bring down a zero from the decimal part of the dividend (4/15) and place it to the right of the remainder 4. The new dividend is now 40.
Divide 40 by 15. The result is 2 with a remainder of 10. Write the 2 above the division line to add to the quotient.
Bring down another zero from the decimal part of the dividend (4/15) and place it to the right of the remainder 10. The new dividend is now 100.
Divide 100 by 15. The result is 6 with a remainder of 10. Write the 6 above the division line to add to the quotient.
Bring down another zero from the decimal part of the dividend (4/15) and place it to the right of the remainder 10. The new dividend is now 100.
Divide 100 by 15. The result is 6 with a remainder of 10. Write the 6 above the division line to add to the quotient.
As we can see, the remainder of 10 repeats in a pattern. Therefore, we can conclude that the decimal representation of 4/15 is approximately 0.26.
To convert a fraction to a decimal using long division, follow these steps:
1. Write the fraction as a division problem. In this case, the fraction is 4/15, so you can write it as 4 รท 15.
2. Perform the long division operation. Start by dividing the numerator (4) by the denominator (15). Write the quotient above the division line.
```
0.
_________
15| 4
```
3. Add a decimal point to the quotient (0) right after the whole number part. This will be the first digit of the decimal representation.
```
0.
_________
15| 4
```
4. Multiply the divisor (15) by the quotient's first digit (0), and subtract it from the numerator (4). Write the result below the line.
```
0.
_________
15| 4
0
______
```
5. Bring down the next digit from the dividend (4) and divide it by the divisor (15). Write the quotient above the dividend.
```
0.
_________
15| 4
0
______
4
```
6. Multiply the divisor (15) by the new quotient digit (0), and subtract it from the dividend (4). Write the result below the line.
```
0.
_________
15| 4
0
______
4
0
______
```
7. Repeat steps 5 and 6 until you obtain the desired level of precision or until there is no remainder left. In this case, you can continue dividing until you have the desired level of precision, such as when the decimal representation terminates or starts repeating.
Continuing the division, you get:
```
0.26
_________
15| 4
0
______
4
0
______
40
- 30
______
100
- 90
______
100
- 90
______
10
```
8. Since we obtain a remainder of 10, the division will continue indefinitely without repeating or terminating.
Therefore, the decimal representation of 4/15 is approximately 0.26 (to two decimal places).
To convert a fraction to a decimal using long division, you divide the numerator of the fraction by the denominator.
In this case, you want to convert 4/15 to a decimal.
Step 1: Write down the fraction: 4/15.
Step 2: Perform the long division as follows:
0.26
___________
15 | 4.00
- 3.75
______
2.50
- 2.25
______
0.25
Step 3: Continue the long division until you reach the desired level of accuracy. In this case, it means going up to the hundredth place value.
Step 4: The final result is 0.26, which approximates 4/15 as a decimal.
Therefore, the correct answer is ~0.27.