Math Problem Statement

Add the fractions2/12 + 8/12 and write the result in simplest form

Solution

To add the fractions 212+812\frac{2}{12} + \frac{8}{12}:

  1. Since both fractions have the same denominator (12), we can add the numerators directly: 2+812=1012\frac{2 + 8}{12} = \frac{10}{12}

  2. Now, simplify 1012\frac{10}{12} by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2: 10÷212÷2=56\frac{10 \div 2}{12 \div 2} = \frac{5}{6}

Thus, the result in simplest form is 56\frac{5}{6}.

Would you like more details or do you have any questions? Here are some related questions you might consider:

  1. How do you find the least common denominator (LCD) for adding fractions?
  2. What are other methods for simplifying fractions?
  3. Can you explain how to subtract fractions with different denominators?
  4. What is the process for converting improper fractions to mixed numbers?
  5. How would you add three or more fractions together?

Tip: Always simplify fractions after performing operations to ensure they are in the simplest form.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Simplification of Fractions

Formulas

\( \frac{a}{b} + \frac{c}{b} = \frac{a+c}{b} \)
Simplification: \( \frac{p}{q} = \frac{p \div GCD(p,q)}{q \div GCD(p,q)} \)

Theorems

Properties of Fractions
Greatest Common Divisor (GCD)

Suitable Grade Level

Grades 4-5