Math Problem Statement
a plumber bought 2 lengths of pipes, L and M as shown below 3/1/2 and 2/2/5 what is the combined length of pipes L and M
Solution
The lengths of pipes and are given as mixed numbers:
To find the combined length of pipes and , we need to add these two mixed numbers.
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Convert the mixed numbers to improper fractions:
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Find a common denominator for the fractions:
The denominators are 2 and 5. The least common denominator (LCD) is 10.
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Add the fractions:
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Convert the improper fraction back to a mixed number:
So, the combined length of pipes and is units.
Would you like more details or have any questions?
Here are five related questions:
- How do you add mixed numbers directly without converting to improper fractions?
- What is the least common denominator, and how is it determined?
- How can you simplify fractions after adding them?
- What is the process for converting an improper fraction to a mixed number?
- How do you subtract mixed numbers?
Tip: When adding or subtracting mixed numbers, it's often easier to convert them to improper fractions first.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Mixed Numbers
Fractions
Formulas
Conversion of mixed numbers to improper fractions
Addition of fractions with a common denominator
Theorems
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Suitable Grade Level
Grades 5-7