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

1 answer

To convert 3 4/5 to a decimal using long division, we can set up the division as follows:

3.8
------------
5 | 19
- 15
-----
4

First, we divide 5 into 19, which gives us a quotient of 3. Then, we multiply the quotient (3) by the divisor (5) and subtract the result (15) from the dividend (19). This gives us a remainder of 4.

Since the remainder is not zero, we can continue the division by adding a decimal point after the 8 in the quotient and a zero after the decimal point. We then bring down the zero from the dividend to continue the division.

3.80
------------
5 | 190
- 15
-----
40
- 40
-----
0

Now, since the remainder is zero, the division is complete. Therefore, 3 4/5 is equal to 3.80 as a decimal.