The image shows a problem involving the addition of fractions with unlike denominators. Let's solve it step by step and explain the process.
Problem:
$$
\frac{2}{3} + \frac{1}{6}
$$
Step 1: Identify the denominators
The denominators are 3 and 6. To add these fractions, we need a common denominator. The least common denominator (LCD) of 3 and 6 is 6.
Step 2: Convert each fraction to have the common denominator
- For the fraction \(\frac{2}{3}\):
- Multiply both the numerator and the denominator by 2 to get a denominator of 6:
$$
\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
$$
- For the fraction \(\frac{1}{6}\):
- The denominator is already 6, so it remains unchanged:
$$
\frac{1}{6} = \frac{1}{6}
$$
Step 3: Add the fractions
Now that both fractions have the same denominator, we can add the numerators:
$$
\frac{4}{6} + \frac{1}{6} = \frac{4 + 1}{6} = \frac{5}{6}
$$
Final Answer:
$$
\boxed{\frac{5}{6}}
$$
Explanation of the Image:
- The image shows the steps of converting \(\frac{2}{3}\) to \(\frac{4}{6}\) by multiplying both the numerator and the denominator by 2.
- It then adds \(\frac{4}{6} + \frac{1}{6}\) to get \(\frac{5}{6}\).
- The number chips (circles with numbers) are likely used as a visual aid to help students understand the process.
Thus, the final answer is \(\boxed{\frac{5}{6}}\).
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting unlike denominators.
