find the least common denominator replace each fraction with an equivalent form, and then add. write the sum in simplest form 4/6+2/3

To solve the problem, we need to:

1. **Find the Least Common Denominator (LCD):**
   - The denominators of the fractions are 6 and 3.
   - The least common denominator (LCD) of 6 and 3 is 6.

2. **Rewrite each fraction with the LCD:**
   - The first fraction, \(\frac{4}{6}\), already has the denominator of 6, so it remains the same.
   - The second fraction, \(\frac{2}{3}\), needs to be rewritten with the denominator of 6. 
     \[
     \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
     \]

3. **Add the fractions:**
   - Now that both fractions have the same denominator, we can add the numerators:
     \[
     \frac{4}{6} + \frac{4}{6} = \frac{4 + 4}{6} = \frac{8}{6}
     \]

4. **Simplify the fraction:**
   - The fraction \(\frac{8}{6}\) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
     \[
     \frac{8 \div 2}{6 \div 2} = \frac{4}{3}
     \]

So, the sum in simplest form is \(\frac{4}{3}\).

Would you like further details or have any questions? Here are some related questions:

1. How do you find the least common denominator for fractions with larger denominators?
2. What are the steps to simplify a fraction?
3. Can you convert improper fractions to mixed numbers?
4. How do you handle adding fractions with three or more terms?
5. What is the difference between least common multiple (LCM) and greatest common divisor (GCD)?

**Tip:** Always simplify your fractions at the end of your calculations to ensure your answer is in its simplest form.

Find the least common denominator, replace each fraction with an equivalent form, and then add. Write the sum in simplest form: 4/6 + 2/3

Learn how to find the least common denominator (LCD), rewrite fractions with the same denominator, and add them to get the sum in its simplest form. This problem involves fractions, LCD calculation, and simplification, suitable for students in Grades 5-7.

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