Math Problem Statement
What is the sum of the fractions 3/4 and 1/2?
Solution
The image shows a math problem that asks you to add two fractions: .
Solution:
To add these fractions, follow these steps:
-
Find a common denominator: The denominators are 4 and 2. The least common denominator (LCD) is 4.
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Rewrite the fractions:
- stays the same because the denominator is already 4.
- Convert to an equivalent fraction with a denominator of 4:
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Add the fractions:
- Now add the fractions with the common denominator:
-
Simplify if necessary:
- is an improper fraction, which can also be written as .
So, the final answer is or .
Would you like more details or have any questions?
Related Questions:
- How do you subtract fractions with different denominators?
- What is the process to multiply fractions?
- How do you convert improper fractions to mixed numbers?
- What is the inverse operation of adding fractions?
- How do you add fractions with variables in the numerator?
Tip: Always check if you can simplify your answer further by finding the greatest common divisor (GCD) of the numerator and denominator.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Least Common Denominator
Formulas
\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \)
Least Common Denominator
Theorems
Arithmetic of Fractions
Suitable Grade Level
Grades 4-6