Math Problem Statement

1/3 + 7/9

Solution

To solve 13+79\frac{1}{3} + \frac{7}{9}:

  1. Find the least common denominator (LCD). The LCD of 3 and 9 is 9.
  2. Convert 13\frac{1}{3} to have a denominator of 9. Multiply both the numerator and denominator by 3: 13=39\frac{1}{3} = \frac{3}{9}
  3. Now, add 39\frac{3}{9} and 79\frac{7}{9}: 39+79=3+79=109\frac{3}{9} + \frac{7}{9} = \frac{3 + 7}{9} = \frac{10}{9}

The result is 109\frac{10}{9}, which is an improper fraction. You can also express it as a mixed number: 109=119\frac{10}{9} = 1 \frac{1}{9}

Let me know if you'd like more details or have any questions!

Related Questions:

  1. How do you find the least common denominator between two fractions?
  2. How can you simplify improper fractions into mixed numbers?
  3. What is the process for subtracting fractions with different denominators?
  4. How can you convert mixed numbers back into improper fractions?
  5. What is the difference between a proper fraction and an improper fraction?

Tip:

When adding or subtracting fractions, always look for the least common denominator to make calculations easier.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator
Improper Fractions
Mixed Numbers

Formulas

\( \frac{a}{b} + \frac{c}{d} = \frac{a \times d + c \times b}{b \times d} \)
Conversion of improper fractions to mixed numbers

Theorems

Least Common Denominator (LCD) Theorem
Improper Fraction to Mixed Number Conversion

Suitable Grade Level

Grades 4-6