Use long division to convert 3 4/5
to a decimal.
To convert 3 4/5 to a decimal using long division, we first convert the mixed fraction to an improper fraction.
To do this, we multiply the whole number (3) by the denominator of the fraction (5), and add the numerator (4). This gives us:
3 * 5 + 4 = 15 + 4 = 19
Therefore, 3 4/5 as an improper fraction is 19/5.
Now, we can perform long division to divide 19 by 5:
3.8
___________
5 | 19
We start by dividing the first digit of the dividend (19) by the divisor (5). Since 5 can be divided evenly into 19, the result is 3. We then multiply this result by the divisor and subtract it from the dividend to get the remainder:
3
_______
5 | 19
-15
______
4
Next, we bring down the next digit from the dividend (4) and add it to the remainder:
3.8
_______
5 | 19
-15
______
4
0
We can now see that 5 does not divide evenly into 40. Therefore, we can add a decimal point to the quotient and continue the long division process by bringing down a zero from the dividend:
3.80
_______
5 | 19
-15
______
4
0
______
40
Now we can continue the process by dividing 5 into 40. It can be divided evenly, so we add a 0 to the quotient and continue dividing:
3.806
________
5 | 19
-15
______
4
0
______
40
-40
______
0
Since the dividend is now zero, we have completed the long division process. Therefore, 3 4/5 as a decimal is 3.806.
as a mixed number
To convert the decimal 3.806 to a mixed number, we can identify the whole number and fraction parts.
The whole number part of 3.806 is 3.
To find the fraction part, we take the decimal part and express it as a fraction. Since there are three digits after the decimal point in 3.806, we can write it as 806/1000. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, we get 403/500.
Therefore, the mixed number equivalent of 3.806 is 3 403/500.
thats not right
I apologize for the confusion. Let's try again.
To convert the decimal 3.806 to a mixed number, we need to express it as a whole number plus a fraction.
The whole number part of 3.806 is 3.
To find the fraction part, we take the decimal part and express it as a fraction. The decimal part is 0.806.
To convert 0.806 to a fraction, we can use the fact that the decimal is in the thousandths place. So, the fraction is 806/1000.
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, we get 403/500.
Therefore, the mixed number equivalent of 3.806 is 3 + 403/500.
Use long division to convert 3 4/5
to a decimal.
To convert 3 4/5 to a decimal using long division, we first convert the mixed fraction to an improper fraction.
To do this, we multiply the whole number (3) by the denominator of the fraction (5), and add the numerator (4). This gives us:
3 * 5 + 4 = 15 + 4 = 19
Therefore, 3 4/5 as an improper fraction is 19/5.
Now, we can perform long division to divide 19 by 5:
3.8
___________
5 | 19
We start by dividing the first digit of the dividend (19) by the divisor (5). Since 5 can be divided evenly into 19, the result is 3. We then multiply this result by the divisor and subtract it from the dividend to get the remainder:
3
_______
5 | 19
-15
______
4
Next, we bring down the next digit from the dividend (4) and add it to the remainder:
3.8
_______
5 | 19
-15
______
4
0
We can now see that 5 does not divide evenly into 40. Therefore, we can add a decimal point to the quotient and continue the long division process by bringing down a zero from the dividend:
3.80
_______
5 | 19
-15
______
4
0
______
40
Now we can continue the process by dividing 5 into 40. It can be divided evenly, so we add a 0 to the quotient:
3.80
_______
5 | 19
-15
______
4
0
______
40
-40
______
0
Since the dividend is now zero, we have completed the long division process. Therefore, 3 4/5 as a decimal is 3.8.
thank youu
You're welcome! If you have any more questions, feel free to ask.
Use long division to convert 13/20
to a decimal.