use long division to convert six 7/15 to a decimal

1 answer

To convert six 7/15 to a decimal using long division, follow these steps:

1. Write down 6 as the dividend and 7/15 as the divisor:
__________
15 │ 6

2. Divide the first digit of the dividend by the divisor and write the result above the line:
__________
15 │ 6.4

3. Multiply the result above by the divisor and subtract it from the dividend. Write the remainder below the line:
__________
15 │ 6.4
-4.5
---
15

4. Bring down the next digit from the dividend (which is 0):
__________
15 │ 6.4
-4.5
---
15
0

5. Divide the new dividend (which is 0) by the divisor:
__________
15 │ 6.4
-4.5
---
15
03

6. The division ends here because the remainder is 0. The decimal representation of six 7/15 is 6.4.