Use long division to convert 4/15 to decimal
To convert 4/15 to decimal using long division, follow these steps:
1. Set up the long division problem with 4 as the dividend and 15 as the divisor:
```
0._____
15 | 4.0000
```
2. Divide the first digit of the dividend (4) by the divisor (15). The result is 0 because 4 is less than 15.
```
0._____
15 | 4.0000
-0
```
3. Bring down the next digit from the dividend (0) and place it after the result from step 2. The new dividend is 40.
```
0._____
15 | 4.0000
-0
40
```
4. Divide the new dividend (40) by the divisor (15). The result is 2 with a remainder of 10. Place the quotient (2) above the division bar and the remainder (10) next to the next digit of the dividend.
```
0.2____
15 | 4.0000
-0
40
-30
10
```
5. Bring down the next digit from the dividend (0) and place it after the remainder from step 4. The new dividend is 100.
```
0.26____
15 | 4.0000
-0
40
-30
10
-0
100
```
6. Divide the new dividend (100) by the divisor (15). The result is 6 with a remainder of 10. Place the quotient (6) above the division bar and the remainder (10) next to the next digit of the dividend.
```
0.266____
15 | 4.0000
-0
40
-30
10
-0
100
-90
10
```
7. Continue this process until you obtain the desired level of accuracy or determine a repeating pattern in the decimals. In this case, we can see that the remainder 10 repeats, so we can stop here.
Therefore, the decimal representation of 4/15 is approximately 0.26 (or 0.2666... as a repeating decimal).
To convert the fraction 4/15 to a decimal using long division, follow these steps:
1. Divide the numerator (4) by the denominator (15). Write down the whole number part of the result (if any) as the quotient. If there is no whole number, write down a 0 as the quotient.
0.2
2. Multiply the denominator (15) by the quotient (0.2). Write the result under the numerator.
4
-----
15 | 4.0
3. Subtract the result of step 2 from the numerator (4).
0.2
-----
15 | 4.0
-3.0
4. Bring down a zero and append it to the value in the remainder.
0.2
-----
15 | 4.00
-3.00
-----
1.00
5. Divide the new numerator (10) by the denominator (15). Write down the whole number part of the result (if any) as the next decimal place.
0.26
-----
15 | 4.000
-3.000
-------
1.00
-0.75
6. Repeat steps 3-5 until the remainder is zero or you reach your desired level of precision.
In this case, the decimal representation of 4/15 is 0.26, rounded to two decimal places.
Therefore, 4/15 is approximately equal to 0.26.
To convert a fraction to a decimal using long division, follow these steps:
Step 1: Set up the division
Write the fraction as a division problem with the numerator (4) as the dividend and the denominator (15) as the divisor. Place a decimal point above the division bar.
0. _______
15 | 4
Step 2: Divide
Divide the first digit (4) by the divisor (15). The result is 0 because 4 is smaller than 15. Bring down the next digit (0) from the fraction.
0. _______
15 | 4.0
Step 3: Add a zero
Multiply the divisor (15) by 10 and bring down another zero. This gives us 150.
0. _______
15 | 4.0
3 0
Step 4: Divide again
Divide the new dividend (30) by the divisor (15). The result is 2.
0. _______
15 | 4.0
30
-----
2
Step 5: Repeat steps 3 and 4
Multiply the divisor (15) by 10 again and bring down another zero. This gives us 150 once more.
Continue the division process by dividing the new dividend (150) by the divisor (15) to get the next digit of the decimal.
0. _______
15 | 4.0
30
-----
2
15
-----
0
Step 6: Write the decimal
Since the remainder is zero, the division is complete. The decimal representation of 4/15 is 0.2666... or simply 0.26 (rounded to two decimal places).
Therefore, 4/15 as a decimal is approximately 0.26.