To convert the mixed number 3 4/5 to a decimal using long division, follow these steps:
1. Set up the division problem by dividing the whole number part (3) by the denominator (5).
3 ÷ 5 = 0.6 (write this as the whole number part of your answer)
2. Multiply the remainder (4) by 10 to shift the decimal point to the right and bring down a zero.
4 × 10 = 40
3. Divide the new number (40) by the denominator (5).
40 ÷ 5 = 8
4. Continue to multiply the remainder (0) by 10, then divide by the denominator (5) until you get a repeating pattern or the desired level of precision.
0 × 10 = 0
0 ÷ 5 = 0
5. The answer is the whole number part (0.6) combined with the decimal part (0).
3 4/5 = 3.6