use long division to convert 4/15 to a decimal.
responses:
A 26
B 4.15
C 3.75
D ≈ 0.27
To convert 4/15 to a decimal using long division, follow these steps:
1. Divide the numerator (4) by the denominator (15).
2. The first digit of the quotient is the result of 4 divided by 15, which is 0.
3. Multiply the quotient digit (0) by the denominator (15) to get 0.
4. Subtract 0 from the numerator (4) to get 4.
5. Bring down the next digit from the dividend (0) after the subtraction, which becomes 40.
6. Divide 40 by 15 to get the next digit of the quotient. The digit is 2.
7. Multiply the new quotient digit (2) by the denominator (15) to get 30.
8. Subtract 30 from the remaining numerator (40) to get 10.
9. Bring down the next digit from the dividend (0).
10. Divide 100 by 15 to obtain the next digit of the quotient. The digit is 6.
11. Multiply the new quotient digit (6) by the denominator (15) to get 90.
12. Subtract 90 from the remaining numerator (100) to get 10.
Since the remainder in step 12 is the same as the remainder in step 8, the long division will repeat in a cycle. Therefore, we can conclude that 4/15 is approximately equal to 0.26 with a repeating decimal portion.
So, the correct answer is not provided among the given options.
To convert 4/15 to a decimal using long division, follow these steps:
Step 1: Divide the numerator (4) by the denominator (15).
0.26
___________
15 | 4.00
Step 2: Multiply the quotient (0.26) by the denominator (15) and subtract the result from the numerator (4).
0.26
___________
15 | 4.00
-0.30
_______
0.10
Step 3: Bring down a zero and continue dividing.
0.26
___________
15 | 4.00
-0.30
_______
0.10
0.00
Step 4: The long division process has reached 0.00, indicating the division is complete.
Therefore, the decimal form of 4/15 is approximately 0.26.
Thus, the correct answer is D) ≈ 0.26.