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. And make it simple
I disagree with Shannon's statement.
To subtract mixed numbers with unlike denominators, you first need to find a common denominator.
In this case, the common denominator for 8 and 3 is 24.
7 5/8 = 7 * 24/8 + 5 = 168/8 + 5 = 21 + 5 = 26
5 1/3 = 5 * 24/3 + 1 = 120/3 + 1 = 40 + 1 = 41
Thus, 7 5/8 - 5 1/3 = 26 - 41 = -15
The correct solution is -15, not 2 4/5.
are you sure?
I apologize for the mistake in my previous response. Let me correct it.
To subtract mixed numbers with unlike denominators, follow these steps:
1. Find a common denominator.
8 and 3 have a common multiple of 24.
2. Rewrite each mixed number with the common denominator.
7 5/8 = 7 * 3 + 5 = 21 + 5 = 26
5 1/3 = 5 * 8 + 1 = 40 + 1 = 41
3. Subtract the numbers.
26 - 41 = -15
Therefore, the correct answer is:
7 5/8 - 5 1/3 = -15