Math Problem Statement
What is the sum of the fractions 14/32 + 8/32?
Solution
To determine the sum of the fractions , follow these steps:
Step 1: Add fractions with the same denominator
Since the denominators are the same (32), you can add the numerators directly:
Step 2: Simplify the fraction
To simplify , find the greatest common divisor (GCD) of 22 and 32.
- The factors of 22:
- The factors of 32:
- The GCD is 2.
Divide both the numerator and denominator by 2:
Final Answer:
The sum of the fractions is:
Related Questions:
- How do you simplify fractions with large numerators and denominators?
- What is the method to add fractions with different denominators?
- How can you convert improper fractions to mixed numbers?
- How do you find the least common denominator (LCD) of two fractions?
- How is simplifying fractions related to finding their GCD?
Tip:
When adding fractions, always check if the final result can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD).
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Math Problem Analysis
Mathematical Concepts
Adding Fractions
Simplifying Fractions
Greatest Common Divisor (GCD)
Formulas
a/b + c/b = (a+c)/b
Simplification using GCD: gcd(numerator, denominator)
Theorems
Fraction Addition Theorem
Simplification of Fractions using GCD
Suitable Grade Level
Grade 5-6