To solve the sum \( \frac{3}{4} + \frac{5}{6} + \frac{7}{9} \), we need to find a common denominator. The least common multiple (LCM) of the denominators 4, 6, and 9 is 36.

We then convert each fraction to have the common denominator of 36:

\[
\frac{3}{4} = \frac{3 \times 9}{4 \times 9} = \frac{27}{36}
\]

\[
\frac{5}{6} = \frac{5 \times 6}{6 \times 6} = \frac{30}{36}
\]

\[
\frac{7}{9} = \frac{7 \times 4}{9 \times 4} = \frac{28}{36}
\]

Now, we add the fractions:

\[
\frac{27}{36} + \frac{30}{36} + \frac{28}{36} = \frac{27 + 30 + 28}{36} = \frac{85}{36}
\]

The final result is \( \frac{85}{36} \).

Would you like more details or have any questions?

Here are some related questions you might find useful:

1. How do you find the least common multiple (LCM) of a set of numbers?
2. What are the steps to convert a fraction to have a common denominator?
3. How do you simplify a fraction after addition?
4. What is the process of adding fractions with different denominators?
5. Can you convert improper fractions to mixed numbers?
6. How do you check if a fraction is in its simplest form?
7. What are the properties of fractions that help in addition and subtraction?
8. How do you handle addition of more than three fractions?

**Tip:** When adding fractions, always look for the least common denominator to simplify calculations.

Learn how to add fractions with different denominators using a step-by-step guide. This problem involves finding a common denominator and adding fractions, covering key concepts like fractions, common denominators, and addition of fractions. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation