Question

use long division convert 4/15 into a decimal

Answer 1

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.