Use long division to convert 5 3/12 to a decimal.

Question

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Answer 1

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.