Math Problem Statement
Add: Write in simplest form: 5 5/7 + 3 1/2.
Solution
The expression in the image is the sum of two mixed numbers: .
Steps to solve:
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Convert mixed numbers to improper fractions:
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Find a common denominator:
- The denominators are 7 and 2. The least common denominator (LCD) is 14.
- Convert both fractions:
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Add the fractions:
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Simplify or convert back to a mixed number:
- can be written as a mixed number.
- Divide remainder , so:
Thus, the sum is .
Would you like further details on any part of the process?
Here are 5 related questions:
- How do you subtract mixed numbers?
- What is the method to find the least common denominator?
- How do you simplify improper fractions?
- How can you multiply mixed numbers?
- What are the steps to convert an improper fraction back to a mixed number?
Tip: Always check for common factors between the numerator and denominator when simplifying fractions!
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Improper Fractions
Addition of Fractions
Formulas
a b/c = (a * c + b)/c
LCD for fractions
Sum of fractions: a/b + c/d = (a*d + b*c)/(b*d)
Theorems
Least Common Denominator
Addition of Improper Fractions
Suitable Grade Level
Grades 6-8