Shannon states that 7
-53
= 2½ 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.
To subtract mixed numbers with unlike denominators, we need to find a common denominator and convert both mixed numbers into fractions. Then, we subtract the fractions and, if necessary, simplify the result.
As an example, let's subtract 2⅓ from 4¾:
1. Find the common denominator, which is 12 for 3 and 4.
2. Convert the mixed numbers into improper fractions:
- 2⅓ = 7/3
- 4¾ = 19/4
3. Multiply the numerators by the same amount we multiplied the denominators to get the common denominator:
- 7/3 becomes 28/12
- 19/4 becomes 57/12
4. Subtract the fractions: 57/12 - 28/12 = (57 - 28)/12 = 29/12
5. Simplify the result if necessary. In this case, 29/12 cannot be simplified further.
So, the result of 4¾ - 2⅓ is 29/12 or approximately 2⅜.