Use a common denominator to write equivalent fractions for fraction 5/9 and fraction 2/3


To write equivalent fractions for \(\frac{5}{9}\) and \(\frac{2}{3}\) using a common denominator, follow these steps:

1. **Find the Least Common Denominator (LCD):**
   - The denominators are 9 and 3.
   - The least common multiple (LCM) of 9 and 3 is 9.
   - So, the least common denominator is 9.

2. **Convert \(\frac{5}{9}\) to an equivalent fraction with a denominator of 9:**
   - \(\frac{5}{9}\) already has 9 as the denominator, so it remains \(\frac{5}{9}\).

3. **Convert \(\frac{2}{3}\) to an equivalent fraction with a denominator of 9:**
   - Multiply both the numerator and the denominator of \(\frac{2}{3}\) by 3 (since \(3 \times 3 = 9\)):
   \[
   \frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}
   \]

So, the equivalent fractions with a common denominator are:
\[
\frac{5}{9} \quad \text{and} \quad \frac{6}{9}
\]

Would you like more details on this process, or do you have any questions?

Here are five related questions to consider:
1. How can you verify if two fractions are equivalent?
2. What is the process for comparing fractions with different denominators?
3. How would you simplify a fraction if both the numerator and the denominator share a common factor?
4. How can you convert a fraction into a decimal?
5. What is the greatest common divisor (GCD), and how is it used in simplifying fractions?

**Tip:** Always check if the fractions are already in their simplest form before finding a common denominator. This can simplify the process.

Learn how to write equivalent fractions for 5/9 and 2/3 using a common denominator. Understand the process step-by-step with detailed explanations and examples. Suitable for students in Grades 4-6.

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