Question

Use long division to convert 3 4/5to a decimal. (1 point)

Answer 1

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.