Shannon states that 7 5/8 − 5 1/3 = 2 4/5 because 7−5=2 , 5−1=4 , and 8−3=5 . First, state whether you agree or disagree. Then, explain briefly how to subtract mixed numbers with unlike denominators. Be sure to show your solution as a subtraction equation. (2 points)
I disagree with Shannon's statement.
To subtract mixed numbers with unlike denominators, you need to find a common denominator between the two fractions. Once you have a common denominator, you can subtract the fractions and the whole numbers separately.
For example, to subtract 7 5/8 - 5 1/3:
1. Find a common denominator between 8 and 3, which is 24.
2. Rewrite the mixed numbers with the common denominator:
7 15/24 - 5 8/24
3. Subtract the fractions: 15/24 - 8/24 = 7/24
4. Subtract the whole numbers: 7 - 5 = 2
Putting it all together: 7 5/8 - 5 1/3 = 2 7/24.