Math Problem Statement
Solution
The image shows the equation:
To solve this, we need to add the fractions and . Here's the step-by-step solution:
Step 1: Find a common denominator.
The least common denominator (LCD) of 3 and 6 is 6. We need to convert to a fraction with a denominator of 6.
Step 2: Add the fractions.
Now we can add and :
Step 3: Simplify the result.
can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
So the final answer is , or if written as a mixed number.
Complete equation:
Do you have any questions or would you like more details?
Here are 5 related questions to expand your understanding:
- How do you find the least common denominator between two fractions?
- Why is it necessary to convert fractions to a common denominator before adding them?
- How can you check if a fraction can be simplified?
- How would the approach change if you had three fractions to add instead of two?
- How do you convert an improper fraction to a mixed number?
Tip: Always simplify fractions at the end of your calculations for a cleaner final answer!
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Simplifying Fractions
Formulas
Common denominator for addition of fractions
Simplifying fractions by greatest common divisor (GCD)
Theorems
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Suitable Grade Level
Grade 5-6