Use long division to convert 3 4/5 to a decimal.
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
are you sure thats not the answer for me
Apologies for the confusion. Let's go through the steps again.
To convert the mixed number 3 4/5 to a decimal using long division, follow these steps:
1. Convert the mixed number to an improper fraction.
3 4/5 = (5 * 3 + 4)/5 = (15 + 4)/5 = 19/5
2. Set up the division problem by dividing the numerator (19) by the denominator (5).
19 ÷ 5 = 3.8
So, the decimal representation of 3 4/5 is 3.8.
To convert a mixed number like 3 4/5 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
3 4/5 = (5 * 3 + 4) / 5 = 19/5
Step 2: Perform long division to divide the numerator (19) by the denominator (5).
3.8
___________
5 | 19.0
Start by dividing 19 by 5. The quotient is 3. Write this above the division line.
Multiply the divisor (5) by the quotient (3): 5 * 3 = 15. Write this below the 19.
3.8
___________
5 | 19.0
-15
--
4
Step 3: Bring down the next digit of the dividend (4) and place it after the remainder (4).
3.8
___________
5 | 19.0
-15
--
45
Step 4: Divide 45 by 5. The quotient is 9. Write this above the division line.
Multiply the divisor (5) by the quotient (9): 5 * 9 = 45. Write this below the 45.
3.8
___________
5 | 19.0
-15
--
45
- 45
---
0
Step 5: Since there is no remainder (0) and no more digits to bring down, the division is complete.
Step 6: Combine the quotient (3) with the decimal point and the remaining quotient (8). The final decimal representation of 3 4/5 is 3.8.