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

1 answer

To convert 5 3/12 to a decimal using long division, follow these steps:

1. Rewrite the mixed number as a fraction. In this case, 5 can be written as 5/1, so the mixed number becomes 5/1 + 3/12.

2. Find the common denominator for the fractions, which is 12. Rewrite both fractions with the denominator of 12.

5/1 + 3/12 = 5/1 + 3/12
= 60/12 + 3/12

3. Add the numerators and keep the denominator the same.

60/12 + 3/12 = (60 + 3) / 12
= 63/12

4. Perform the long division by dividing the numerator (63) by the denominator (12).

5.25

Therefore, 5 3/12 in decimal form is 5.25.