Use long division to convert 4/15 to a decimal.
To convert 4/15 to a decimal using long division, follow these steps:
1. Divide the numerator (4) by the denominator (15).
- Start with 4 ÷ 15
- The quotient is 0. (It's less than 1, so the decimal will be less than 1 too.)
- Write down 0 as the whole number part of the quotient.
2. Bring down a zero after the decimal point in the quotient (0).
- The new division problem is now 40 ÷ 15.
3. Divide 40 by 15.
- Start with 40 ÷ 15
- The quotient is 2. (It's greater than 1, so the decimal will be greater than 0 too.)
- Write down 2 as the decimal part of the quotient.
4. Multiply 2 by 15 to get 30.
5. Subtract 30 from 40 (the dividend).
- 40 - 30 = 10
6. Bring down a zero after the remainder (10).
- The new dividend is now 100.
7. Divide 100 by 15.
- Start with 100 ÷ 15
- The quotient is 6.
- Write down 6 after the decimal point.
8. Multiply 6 by 15 to get 90.
9. Subtract 90 from 100 (the dividend).
- 100 - 90 = 10
10. Bring down a zero after the remainder (10).
- The new dividend is now 100.
11. Divide 100 by 15.
- Start with 100 ÷ 15
- The quotient is 6.
- Write down 6 after the decimal point again.
12. Multiply 6 by 15 to get 90.
13. Subtract 90 from 100 (the dividend).
- 100 - 90 = 10
At this point, we have the remainder 10 again, which indicates a repeating decimal pattern. The decimal representation of 4/15 is 0.26 with a bar over the "6" to show the repeating pattern. So, the decimal form of 4/15 is approximately 0.26¯6.
To convert the fraction 4/15 to a decimal using long division, follow these steps:
1. Write out the division problem: 4 ÷ 15.
2. Starting with the first digit of the dividend (4), divide it by the divisor (15). The answer may not be a whole number, so we will add a decimal point.
0.
3. Since 4 is less than 15, we need to bring down the next digit from the dividend. Write a 0 to the right of the decimal point and bring down the next digit, which is 0. Our new dividend is 40.
4. Divide 40 by 15. The answer is 2.
0.2
5. Now multiply the divisor (15) by the quotient (2) and subtract the result from the new dividend (40) to get the remainder.
40 - (15 x 2) = 10
6. Since the remainder (10) is not zero, we need to bring down the next digit from the dividend. Write a 0 to the right of the decimal point and bring down the next digit, which is 0. Our new dividend is 100.
7. Divide 100 by 15. The answer is 6.
0.26
8. Now multiply the divisor (15) by the quotient (6) and subtract the result from the new dividend (100) to get the remainder.
100 - (15 x 6) = 10
9. Since the remainder (10) is still not zero, we need to bring down the next digit from the dividend. Write a 0 to the right of the decimal point and bring down the next digit, which is 0. Our new dividend is 100 again.
10. Divide 100 by 15. The answer is 6.
0.2666…
11. Repeat steps 8 and 9 until the remainder becomes zero or starts repeating.
12. The division continues indefinitely, with the digits 6 repeating after the decimal point. Therefore, we can represent the fraction 4/15 in decimal form as 0.2666… or rounded to 0.267.
Thus, 4/15 is equal to 0.267 (rounded).
To convert the fraction 4/15 to a decimal using long division, follow these steps:
Step 1: Set up the long division format. Write 4 as the dividend inside the division bracket and 15 as the divisor on the outside.
_____
15| 4
Step 2: Divide the first digit of the dividend (4) by the divisor (15). The result will be the quotient.
_____
15| 4
-
Since 4 is less than 15, the decimal would be less than 1. So the quotient, in this case, will be 0.
_____
15| 4
-
0
Step 3: Bring down the next digit from the dividend, which is 0. Write it next to the previous quotient.
_____
15| 4
-
0.
Step 4: Multiply the divisor (15) by the quotient (0), and write the result below the 0.
_____
15| 4
-
0.0
Step 5: Subtract the result from the previous step from the dividend. Write the remainder below the line.
_____
15| 4
-
0.0
-
Since 0 minus 0 equals 0, the remainder in this case is 0.
_____
15| 4
-
0.0
-
0
Step 6: Bring down another digit from the dividend, which is 0. Place it next to the previous remainder.
_____
15| 4
-
0.0
-
0
Step 7: Multiply the divisor (15) by the quotient (0) and write the result below the previous row.
_____
15| 4
-
0.0
-
0
0
Step 8: Subtract the result obtained in the previous step from the previous row and write the remainder.
_____
15| 4
-
0.0
-
0
0
-
Since 0 minus 0 equals 0, the remainder is also 0.
_____
15| 4
-
0.0
-
0
0
-
0
Step 9: Repeat steps 6 to 8 until either the remainder is 0, or the desired level of decimal precision is reached.
Since the remainder is 0, the division process stops.
Step 10: The quotient obtained throughout the long division process is the decimal equivalent of the fraction 4/15.
Therefore, 4/15 as a decimal is 0.26666... (the 6 repeats indefinitely).