Math Problem Statement
Add the fractions2/12 + 8/12 and write the result in simplest form
Solution
To add the fractions :
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Since both fractions have the same denominator (12), we can add the numerators directly:
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Now, simplify by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
Thus, the result in simplest form is .
Would you like more details or do you have any questions? Here are some related questions you might consider:
- How do you find the least common denominator (LCD) for adding fractions?
- What are other methods for simplifying fractions?
- Can you explain how to subtract fractions with different denominators?
- What is the process for converting improper fractions to mixed numbers?
- How would you add three or more fractions together?
Tip: Always simplify fractions after performing operations to ensure they are in the simplest form.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Simplification of Fractions
Formulas
\( \frac{a}{b} + \frac{c}{b} = \frac{a+c}{b} \)
Simplification: \( \frac{p}{q} = \frac{p \div GCD(p,q)}{q \div GCD(p,q)} \)
Theorems
Properties of Fractions
Greatest Common Divisor (GCD)
Suitable Grade Level
Grades 4-5