Use long division to convert 4/15 to a decimal.
To convert 4/15 to a decimal using long division, follow these steps:
1. Write 4 as the dividend and 15 as the divisor.
_____
15| 4
2. Divide the first digit of the dividend (4) by the divisor (15) and write the quotient above the division line.
0.2
_____
15| 4
3. Multiply the quotient (0.2) by the divisor (15) and write the product below the dividend.
0.2
× 15
_____
3.0
_____
15| 4
4. Subtract the product (3.0) from the dividend (4), and write the difference below the line.
0.2
× 15
_____
3.0
- 3.0
_____
15| 4 - 3.0
5. Bring down the next digit (0) from the dividend and append it to the difference.
0.2
× 15
_____
3.0
- 3.0
_____
1
6. Repeat steps 2-5 until you have a desired level of accuracy or until the division terminates (i.e., when the remainder is 0 or the pattern repeats).
In this case, since there is no nonzero remainder or repeating pattern, we can stop here.
Therefore, 4/15 as a decimal is approximately 0.2.
To convert a fraction to a decimal using long division, follow these steps:
Step 1: Write the fraction as a division problem. In this case, write 4/15 as 4 ÷ 15.
Step 2: Perform the long division by dividing the numerator (4) by the denominator (15).
_____
15 | 4
Step 3: Divide 4 by 15. The quotient is the whole number part of the decimal, and the remainder becomes the fraction part of the decimal.
_____
15 | 4.0
-3 0
-----
40
Step 4: Bring down a zero and continue dividing. Divide 40 by 15.
_____
15 | 4.06
-3 0
-----
40
- 30
-----
100
Step 5: Bring down another zero and continue dividing. Divide 100 by 15.
_______
15 | 4.066
-3 0
-----
40
- 30
-----
100
- 90
-----
10
Step 6: Bring down another zero and continue dividing. Divide 10 by 15.
________
15 | 4.0666
-3 0
-----
40
- 30
-----
100
- 90
-----
10
-
0
Step 7: The division process repeats indefinitely with a remainder of 0, showing that there is no recurring pattern in the decimal.
So, 4/15 = 0.2666...