Math Problem Statement
Addition and subtraction of fractions with the same denominator
Solution
Let's solve the fraction problems in the image, starting from the top:
1.
- Since the denominators are the same, we add the numerators:
2.
- Again, the denominators are the same, so we subtract the numerators: This fraction simplifies to:
3.
- With the same denominator, we can add all numerators: This fraction simplifies to:
4.
- Subtract the numerators:
5.
- Add the numerators: This is an improper fraction, and can be written as:
6.
- Add the numerators: This is an improper fraction, and can be written as:
7.
- Combine the numerators:
8.
- Subtract the numerators: This simplifies to:
9.
- Add the numerators: This is an improper fraction, and can be written as:
Would you like more details or explanations on any of the steps?
Here are 5 related questions to extend this topic:
- How do you add fractions with different denominators?
- How can you simplify an improper fraction?
- What is the process for converting a mixed number back to an improper fraction?
- Why is finding the least common denominator important when adding fractions?
- What are some tips for simplifying complex fractions?
Tip: When adding or subtracting fractions, always check if the resulting fraction can be simplified for a cleaner final answer!
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Math Problem Analysis
Mathematical Concepts
Addition of Fractions
Subtraction of Fractions
Fraction Simplification
Improper Fractions
Formulas
When adding fractions with the same denominator: \( \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c} \)
When subtracting fractions with the same denominator: \( \frac{a}{c} - \frac{b}{c} = \frac{a - b}{c} \)
Theorems
Fraction Arithmetic
Suitable Grade Level
Grades 5-7
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