Use long division to convert 3 4/5to a decimal. (1 point)
To convert the mixed number 3 4/5 to a decimal, we can use long division.
First, we rewrite the mixed number as an improper fraction:
3 4/5 = (3 * 5 + 4)/5 = 15/5 + 4/5 = 19/5
Now, we perform the long division:
3.8
---------
5 | 19.0
We start by dividing 5 into 19. Since 5 goes into 19 three times (3 x 5 = 15), we put 3 above the line. We subtract 15 from 19 to get 4.
3.8
---------
5 | 19.0
15
-----
4
Since we have a remainder of 4, we bring down the next digit, which is 0. We now have 40.
3.8
---------
5 | 19.0
15
-----
40
We proceed by dividing 5 into 40. 5 goes into 40 eight times (8 x 5 = 40), so we put 8 above the line. We subtract 40 from 40, which leaves us with 0.
3.8
---------
5 | 19.0
15
-----
40
40
-----
0
Since the remainder is 0, we can see that 19/5 is a terminating decimal. Thus, 3 4/5 as a decimal is 3.8.
To convert the mixed number 3 4/5 to a decimal, you can use long division. Here are the steps:
1. Write the mixed number as a fraction: 3 4/5 = (3 * 5 + 4)/5 = 19/5.
2. Perform long division: Divide the numerator (19) by the denominator (5) and write the quotient above the division symbol.
3.8
-------
5 │ 19
3. Multiply the divisor (5) by the quotient (3), and write the product below the numerator.
3.8
-------
5 │ 19
- 15
--
4
4. Subtract the product (15) from the numerator (19), and write the resulting difference below the line.
3.8
-------
5 │ 19
- 15
--
4
5. Bring down the next digit of the numerator (4) and write it next to the difference.
3.8
-------
5 │ 19
- 15
--
4 0
6. Repeat the process by dividing the new numerator (40) by the denominator (5), and finding the quotient.
3.8
-------
5 │ 19
- 15
--
4 0
- 40
----
0
7. Since the new numerator is 0, the long division process ends.
The final result is 3 4/5 = 3.8.