Answer: To subtract mixed fractions with different denominators, you need to convert the mixed fractions to equivalent fractions with a common denominator. Once the fractions have a common denominator, you can simply subtract the numerators and keep the denominator the same.
Example:
the difference of 2 1/3 and 1 3/4 is 5/12.
Explanation:
First, convert 2 1/3 to an improper fraction: 2 1/3 = 7/3
Next, convert 1 3/4 to an improper fraction: 1 3/4 = 7/4
Now, both fractions have the same denominator, 3. So, you can subtract the numerators:
7/3 - 7/4 = (7 * 4 - 7 * 3) / (3 * 4) = 28/12 - 21/12 = 7/12
Finally, convert the answer back to a mixed fraction: 7/12 = 7 ÷ 12 = 5/12.