Math Problem Statement
Solution
Let’s break down and solve the mathematical tasks step by step. I will first solve part (a) and proceed similarly for the others. Here is the solution process:
(a) Solve:
-
Simplify fractions:
- The others remain as and .
-
Rewrite the expression:
-
Combine the fractions:
- For , so the expression becomes:
-
Find the least common denominator (LCD) of 5 and 17:
- LCD = 85.
-
Rewrite fractions:
- .
-
Add the fractions:
Final Answer for (a):
Would you like me to proceed with solving parts (b)–(f) in detail?
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition and Subtraction of Fractions
Simplification of Fractions
Formulas
Addition of Fractions: a/b + c/d = (ad + bc) / bd
Subtraction of Fractions: a/b - c/d = (ad - bc) / bd
Simplification of Fractions: Find the greatest common divisor (GCD)
Theorems
Least Common Denominator (LCD): Used for adding/subtracting fractions.
Simplification Theorem: Simplify fractions by dividing numerator and denominator by their GCD.
Suitable Grade Level
Grades 6-8
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