Use long division to convert 4/15 to a decimal.(1 point)
Responses
4.15
4.15
3.75
3.75
26
26
≈0.27
≈0.27
To convert 4/15 to a decimal using long division, follow these steps:
1. Write 4 as the dividend (the number being divided) and 15 as the divisor (the number dividing the dividend).
____
15 | 4
2. Divide the first digit(s) of the dividend (4) by the divisor (15). The result is 0.2.
0.2
15 | 4
3. Multiply the result (0.2) by the divisor (15).
0.2 x 15 = 3
4. Subtract the product (3) from the dividend (4) to get the remainder.
____
15 | 4
- 3
1
5. Bring down the next digit (0) from the dividend.
____
15 | 40
- 3
10
6. Repeat steps 3-5 until there are no more digits in the dividend.
____
15 | 40
- 3
10
Since we have repeated the steps, we can now conclude that the decimal representation of 4/15 is approximately 0.27.
To convert a fraction to a decimal using long division, follow these steps:
1. Write the fraction as a division problem with the numerator (top number) as the dividend and the denominator (bottom number) as the divisor. In this case, the fraction is 4/15, so you would write it as 4 ÷ 15.
2. Perform the long division by dividing the numerator (4) by the denominator (15).
- Start by dividing 4 by 15. The quotient is 0. Keep in mind that in long division, we are dividing the entire number (4) by the next digit or digits of the divisor (15).
- _0._
- Since 4 is less than 15, you need to bring down the next digit (0) from the numerator, making it 40.
- _0._
- Divide 40 by 15. The quotient is 2.
- _0.2_
- Multiply 2 by 15, which is 30, and subtract it from 40, resulting in a remainder of 10.
- _0.2_
- 30
-------
10
- Since the remainder is 10, bring down the next digit (0), making it 100.
- _0.26_
- Divide 100 by 15. The quotient is 6.
- _0.26_
- 30 <- This step can be skipped because the quotient is 0.
---
10
- Multiply 6 by 15, which is 90, and subtract it from 100, resulting in a remainder of 10.
- _0.26_
- 90
--------
10
- Notice that we're getting the same remainder (10) repeatedly. This means that the division will continue indefinitely without reaching a terminating decimal.
3. To express the result as a decimal, put a decimal point in front of the quotient (0.26) and continue the pattern of 26 after the decimal point forever.
- The final result is approximately 0.26.
Therefore, the correct answer is approximately 0.26.