use long division convert 4/15 into a decimal
To convert 4/15 into a decimal using long division, follow these steps:
Step 1: Determine the dividend (the number being divided) and the divisor (the number dividing the dividend). In this case, the dividend is 4 and the divisor is 15.
Step 2: Start dividing by placing the dividend (4) inside the long division bracket and the divisor (15) outside the bracket.
---
15|4
Step 3: Divide the first digit of the dividend (4) by the divisor (15). The result is 0.
0
---
15|4
Step 4: Multiply the divisor (15) by the result (0) and subtract it from the first portion of the dividend (4). Write the result (4) below the line.
0
---
15|4
-0
4
Step 5: Bring down the next digit of the dividend, which in this case is 0.
0
---
15|4
- 0
4
0
Step 6: Divide the new dividend (40) by the divisor (15). The result is 2.
0.2
---
15|4
- 0
4
0
30
---
10
Step 7: Multiply the divisor (15) by the result (2) and subtract it from the previous result (40). Write the result (10) below the line.
0.26
---
15|4
- 0
4
0
30
---
10
- 10
0
Step 8: As the resulting difference is now zero, we can stop the division process.
Step 9: The final result is 4/15 as a decimal is approximately 0.26.
Therefore, 4/15 is approximately 0.26 as a decimal.
To convert 4/15 into a decimal using long division, follow these steps:
Step 1: Write down the division problem:
_______
15| 4
Step 2: Divide the first digit of the numerator (4) by the denominator (15) and write the quotient above the division bar:
_______
15| 4
0.
Step 3: Multiply the quotient (0) by the denominator (15) and write the result under the numerator:
_______
15| 4
-0.00
Step 4: Subtract the result (0) from the numerator (4) and write the difference below:
_______
15| 4
-0.00
4
Step 5: Bring down the next digit of the numerator (0), and place it next to the difference:
_______
15| 4
-0.00
40
Step 6: Divide the new number (40) by the denominator (15) and write the new quotient above the division bar:
_______
15| 4
-0.00
40
2
Step 7: Multiply the new quotient (2) by the denominator (15) and write the result under the number being divided:
_______
15| 4
-0.00
40
-30
Step 8: Subtract the result (-30) from the number being divided (40) and write the difference below:
_______
15| 4
-0.00
40
-30
10
Step 9: Since there are no more digits to bring down, and the result is a repeating decimal, we can stop the long division here.
Step 10: Write the final result:
_______
15| 4
-0.00
40
-30
10
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0.2̅6̅6̅6̅...
Therefore, 4/15 as a decimal is approximately 0.2̅6̅6̅6̅...