Convert 3 18/25 to a decimal using long division.

Answer 1

To convert 3 18/25 to a decimal using long division, follow these steps:

1. Divide the numerator (18) by the denominator (25): 18 ÷ 25. The quotient is 0.

0
_______
25 | 18

2. Add a decimal point after the 0 and place a 0 as the next digit after the decimal point: 0.0

0.
_______
25 | 18

3. Multiply the quotient (0) by the denominator (25) and place the result (0) below the 18. Subtract the result from 18: 18 - 0 = 18.

0.0
_______
25 | 18
- 0

4. Bring down the next digit from the dividend, which is 0, and place it after the 18: 180.

0.0
_______
25 | 18
- 0
_______
180

5. Divide 180 by 25: 180 ÷ 25. The quotient is 7.

0.07
_______
25 | 18
- 0
_______
180

6. Multiply the quotient (7) by the denominator (25) and place the result (175) below the 180. Subtract the result from 180: 180 - 175 = 5.

0.07
_______
25 | 18
- 0
_______
180
- 175
_______
50

7. Since there are no more digits to bring down, the final remainder is 50.

8. To convert the remainder to a decimal, divide it by the divisor: 50 ÷ 25. The result is 2.

0.072

Therefore, 3 18/25 as a decimal is 0.072.