Math Problem Statement
8 2/7 + 2 4/5
Solution
The expression shown in the image is:
Step 1: Convert the mixed numbers to improper fractions.
-
:
- Multiply the whole number 8 by the denominator 7: .
- Add the numerator 2: .
- So, .
-
:
- Multiply the whole number 2 by the denominator 5: .
- Add the numerator 4: .
- So, .
Step 2: Add the fractions.
To add , we need a common denominator.
- The least common denominator (LCD) of 7 and 5 is 35.
- Convert both fractions:
Step 3: Perform the addition.
Step 4: Simplify the fraction (if possible).
is already in its simplest form.
Final Answer:
Would you like to know more details or ask questions about this? Here are 5 related questions:
- How do you convert improper fractions back into mixed numbers?
- What is the method for finding the least common denominator of two fractions?
- Can you explain more about simplifying fractions?
- Why do we need a common denominator when adding fractions?
- How would you subtract mixed numbers?
Tip: Always double-check your work when converting between mixed numbers and improper fractions to avoid mistakes!
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Improper Fractions
Addition of Fractions
Formulas
Converting mixed numbers to improper fractions
Finding a common denominator for fractions
Theorems
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Suitable Grade Level
Grades 6-8