https://file.aiquickdraw.com/mathbot/file/1728852619343swzulk7z.jpg

To express each fraction with a denominator of 18, we will convert each fraction to an equivalent one with the same denominator.

### 1. \( \frac{1}{2} \)
To convert \( \frac{1}{2} \) to a fraction with a denominator of 18, we need to multiply both the numerator and denominator by 9:
\[
\frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18}
\]

### 2. \( \frac{5}{6} \)
For \( \frac{5}{6} \), we multiply both the numerator and denominator by 3 to make the denominator 18:
\[
\frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18}
\]

### 3. \( \frac{2}{9} \)
For \( \frac{2}{9} \), we multiply both the numerator and denominator by 2:
\[
\frac{2}{9} = \frac{2 \times 2}{9 \times 2} = \frac{4}{18}
\]

### Final Answer:
- \( \frac{1}{2} = \frac{9}{18} \)
- \( \frac{5}{6} = \frac{15}{18} \)
- \( \frac{2}{9} = \frac{4}{18} \)

Would you like more details or have any questions?

### Related Questions:
1. How do you simplify fractions with larger numbers?
2. What is the least common denominator and how is it found?
3. How can you convert improper fractions to equivalent forms?
4. Why do we use equivalent fractions in solving equations?
5. Can equivalent fractions help in comparing the size of fractions?

### Tip:
When converting fractions to have a common denominator, always ensure you multiply both the numerator and denominator by the same factor to maintain equivalence.

Express each of the following fractions 1/2, 5/6, and 2/9 as an equivalent fraction with a denominator of 18.

Learn how to express fractions 1/2, 5/6, and 2/9 as equivalent fractions with a denominator of 18. This step-by-step solution shows how to multiply both the numerator and denominator by the necessary factors. Ideal for Grades 6-8 students working on fraction conversions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation