Math Problem Statement
find 2 3/10 + 4 2/5 in two different ways
Solution
To find the sum of , I will solve it in two different ways.
Method 1: Converting to Improper Fractions
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Convert each mixed number to an improper fraction:
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Find a common denominator. The least common denominator (LCD) of 10 and 5 is 10.
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Add the fractions:
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Convert back to a mixed number:
Method 2: Adding Whole Numbers and Fractions Separately
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Add the whole numbers:
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Add the fractional parts:
- Convert to have a denominator of 10:
- Now add:
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Combine the whole number and the fraction:
In both methods, the result is .
Would you like further details on any step? Here are five related questions for deeper understanding:
- How do you find the least common denominator for fractions?
- Can you explain how to convert between improper fractions and mixed numbers?
- What is the importance of converting fractions to have a common denominator?
- How can we subtract mixed numbers instead of adding them?
- How do you multiply mixed numbers together?
Tip: When adding fractions, always make sure their denominators are the same before proceeding with the addition.
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Math Problem Analysis
Mathematical Concepts
Addition of Mixed Numbers
Improper Fractions
Least Common Denominator
Formulas
Mixed Number to Improper Fraction Conversion: a b/c = (a * c + b) / c
Finding a Common Denominator
Adding Fractions: a/b + c/b = (a + c) / b
Theorems
Addition of Fractions
Suitable Grade Level
Grades 5-7