Math Problem Statement
a) 3/4 + -6/7 + 9/-14
Solution
Let's solve this expression step by step:
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First, simplify the fractions:
So the expression becomes:
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To add and subtract fractions, we need to find a common denominator. The denominators here are 4, 7, and 14. The least common denominator (LCD) of 4, 7, and 14 is 28.
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Now, convert each fraction to have a denominator of 28:
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Now, add the fractions:
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Combine the numerators:
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So, the result is:
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Simplify the fraction:
Thus, the answer is:
Would you like more details or clarification?
Here are 5 related questions you can explore:
- How do you find the least common denominator (LCD) of fractions?
- What is the process for adding and subtracting negative fractions?
- How do you simplify a fraction after combining like terms?
- What happens when you add a negative fraction to a positive fraction?
- How do you convert improper fractions into mixed numbers?
Tip: When adding and subtracting fractions, always ensure the denominators match by finding the least common denominator.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition and Subtraction of Fractions
Simplifying Fractions
Formulas
LCD (Least Common Denominator)
Fraction Simplification
Theorems
Adding/Subtracting Fractions with Different Denominators
Suitable Grade Level
Grades 6-8