Math Problem Statement
Solve the expression: 9/5 + 4/5 + 4/5 + 7/3
Solution
The image shows the following expression involving fractions:
Let's break this down step by step:
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First, add the fractions with the common denominator :
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Now add the fraction to . To add these fractions, we need a common denominator:
- The least common denominator (LCD) of 5 and 3 is 15.
- Convert both fractions to have a denominator of 15:
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Now add these two fractions:
Final answer:
The value of the expression is .
Would you like more details or have any questions?
Here are some related questions to consider:
- How can we convert improper fractions into mixed numbers?
- What are the steps for finding the least common denominator between two fractions?
- How do you simplify fractions after addition?
- How can you multiply or divide fractions with different denominators?
- What are some other methods for adding fractions with unlike denominators?
Tip: Always simplify fractions when possible to keep calculations clean and accurate.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Least Common Denominator
Formulas
\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}
Least Common Denominator
Theorems
Least Common Denominator Theorem
Fraction Addition Theorem
Suitable Grade Level
Grades 6-8