1. 5/7 - 3/7 equals 2/7, so it matches with option B.
2. 1/6 +3/5 equals 2/3, so it matches with option C.
3. 1/2 + 1/4, which equals 3/4 or option E.
4. 1/5 + 1/2, which equals 7/10, or option D.
5. 1/6-1/8, which simplifies to 1/24 or option A.
To solve fraction problems, common denominators are used to facilitate addition or subtraction, and intuition can provide bounds for the solutions.
When matching addition and subtraction problems with their solutions, we can use intuition and knowledge of how numbers work together.
Here's how the given problems match to their solutions:
5/7 - 3/7 equals 2/7, so it matches with option B.
1/6 +3/5 equals 2/3, so it matches with option C.
1/2 + 1/4 involves finding a common denominator.
Here, the common denominator is 4, so the problem becomes 2/4 + 1/4, which equals 3/4 or option E.
1/5 + 1/2 also requires a common denominator, which is 10. This gives us 2/10 + 5/10, which equals 7/10, or option D.
1/6 - 1/8 needs a common denominator of 24. This gives us 4/24 - 3/24, which simplifies to 1/24 or option A.
To solve these, we have looked for common denominators and used addition and subtraction rules.
Our intuition can often guide us, suggesting that sums will be between certain values based on the sizes of the fractions involved.
The probable question may be:
Match the addition and subtraction problems to their solutions
1. 5/7-3/7 A. 1/24
2. 1/6+3/5 B. 2/7
3. 1/2+1/4 C. 2/3
4. 1/5+1/2 D. 7/10
5. 1/6-1/8 E. 3/4