Use long division to convert 4/15 to a decimal. (1 point)
A. 26
B. ~0.27
C. 3.75
D. 4.15
B. ~0.27
To convert 4/15 to a decimal using long division, we can divide 4 by 15 and keep dividing until we either reach a repeating decimal or the division terminates.
Here are the steps:
1. Divide 4 by 15:
0.26
2. Multiply the result (0.26) by 15:
0.26 * 15 = 3.9
3. Subtract the product (3.9) from 4:
4 - 3.9 = 0.1
4. Since we have reached a remainder of 0.1, we can bring down a zero and continue dividing.
0.1
5. Divide 10 by 15:
10 / 15 = 0.6666...
6. The division doesn't terminate but has a repeating decimal (0.6666...). We round it to two decimal places:
0.67
Therefore, 4/15 is approximately equal to 0.27.
The answer is B. ~0.27.
To convert a fraction to a decimal using long division, follow these steps:
1. Set up the long division problem by writing down the fraction, with the numerator (4) inside the division symbol and the denominator (15) outside the symbol.
4 ÷ 15
2. Determine how many times the denominator (15) can be divided by the numerator (4) without exceeding it. Write this number on top above the division symbol.
4 ÷ 15 = 0
3. Multiply the divisor (15) by the quotient (0) and write the product below the numerator.
0
-0
4. Subtract the product you just wrote from the numerator (4). Write the result below the line.
4 ÷ 15 = 0
-0
4
5. Bring down the next digit from the fraction. In this case, there is no next digit, so you can add a decimal point and a zero.
4 ÷ 15 = 0.0
-0
40
6. Determine how many times the denominator (15) can be divided by the new number (40) without exceeding it. Write this number on top above the division symbol.
4 ÷ 15 = 0.26
-0
40
7. Multiply the divisor (15) by the new quotient (2) and write the product below the line.
4 ÷ 15 = 0.26
-30
40
8. Subtract the product you just wrote from the new number (40). Write the result below the line.
4 ÷ 15 = 0.26
-30
10
9. Bring down the next digit if there is any. In this case, there are no more digits, so the long division process is complete.
10. The quotient you obtained is 0.26. Therefore, the decimal representation of the fraction 4/15 is approximately 0.26.
So, the correct answer is B. ~0.27