Use long division to convert 3 4/5 to a decimal.(1 point)
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.
To convert a mixed number like 3 4/5 to a decimal, we can use long division. Here are the steps:
Step 1: Write the whole number and fraction as an improper fraction.
3 4/5 = (3 × 5 + 4) / 5 = 19/5
Step 2: Perform long division by dividing the numerator (19) by the denominator (5).
3.8
-------
5 | 19
- 15
------
40
- 40
------
0
Step 3: The quotient from the long division is the decimal equivalent.
3 4/5 = 3.8
Therefore, 3 4/5 is equal to 3.8 as a decimal.
To convert a mixed number like 3 4/5 to a decimal, you need to divide the numerator (4) by the denominator (5) and then add the whole number (3).
Here is how you can use long division to convert 3 4/5 to a decimal:
Step 1: Write the mixed number as a fraction.
3 4/5 can be written as (3 * 5 + 4) / 5 = 19/5.
Step 2: Set up the long division.
Write 19/5 as a division problem: divide 19 by 5.
3.8
────────
5 │ 19
Step 3: Divide.
Start by dividing 19 by 5. The quotient will be the whole number part of the mixed number.
5 does not go into 1, so we move to the next digit.
3.8
────────
5 │ 19
- 15
-----
4
Step 4: Bring down the next digit.
Since there are no more digits to bring down, we stop here.
Step 5: Add a decimal point.
Place a decimal point in the quotient in the same position as in the dividend.
Step 6: Add zeros and continue dividing.
Divide 40 (result of the previous division) by 5, adding zeros as needed.
3.8
────────
5 │ 19
- 15
-----
40
40
------
0
Step 7: Stop when the division is complete.
Since the remainder is 0, we have completed the division.
Step 8: Read the quotient as a decimal.
The quotient is 3.8.
Therefore, 3 4/5 is equal to the decimal 3.8.