Use long division to convert 5 3/12 to a decimal.
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To convert 5 3/12 to a decimal using long division, we first need to convert the mixed number to an improper fraction.
Since there are 12 equal parts in a whole, we can rewrite the whole number part of the mixed number as the fraction 5/1. So, 5 can be written as 5/1.
The fraction part is already in the form of 3/12.
Next, we need to add the two fractions together:
5/1 + 3/12
To add these fractions, we need to find a common denominator. In this case, the common denominator is 12.
Now, let's convert 5/1 to an equivalent fraction with a denominator of 12:
5/1 * 12/12 = 60/12
Now we can add the two fractions:
60/12 + 3/12 = 63/12
Now that we have an improper fraction, we can divide the numerator (63) by the denominator (12) using long division:
5.25
-------------
12 | 63
60
-----
30
24
----
60
60
----
0
The result of the long division is 5.25, which is the decimal form of 5 3/12.
To convert 5 3/12 to a decimal using long division, we first need to convert the mixed number to an improper fraction.
To do this, we multiply the whole number (5) by the denominator of the fraction (12), and then add the numerator (3).
5 * 12 = 60
60 + 3 = 63.
So, the mixed number 5 3/12 can be written as the improper fraction 63/12.
Now, we can use long division to convert the fraction 63/12 to a decimal.
First, divide the numerator (63) by the denominator (12):
12)63
60
-----
3
We write down the quotient (5) above the division symbol and the remainder (3) next to the division symbol.
The decimal representation of 5 3/12 is 5.3.
To convert 5 3/12 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
5 3/12 = (5 * 12 + 3) / 12 = 63/12
Step 2: Perform long division by dividing the numerator (63) by the denominator (12). Start with 63 divided by 12:
5.25
_______
12 | 63.00
Step 3: Divide 12 into 63.
- 5 times 12 equals 60.
5.25
_______
12 | 63.00
- 60.00
_______
3.00
Step 4: Bring down the next digit (0) and add it to the remainder from the previous step.
5.25
_______
12 | 63.00
- 60.00
_______
3.00
0
Step 5: Divide 12 into 30.
- 2 times 12 equals 24.
5.25
_______
12 | 63.00
- 60.00
_______
3.00
0
-24.00
________
6.00
Step 6: Divide 12 into 60.
- 5 times 12 equals 60.
5.25
_______
12 | 63.00
- 60.00
_______
3.00
0
-24.00
________
6.00
- 6.00
________
0.00
Step 7: When the remainder is 0, the division process ends.
Therefore, 5 3/12 is equal to 5.25 as a decimal.