Let's solve the expression:

\[
\frac{3}{7} \times 0.5 + \frac{4}{7} \times 0.5
\]

First, multiply each fraction by 0.5:

\[
\frac{3}{7} \times 0.5 = \frac{3 \times 0.5}{7} = \frac{1.5}{7}
\]

\[
\frac{4}{7} \times 0.5 = \frac{4 \times 0.5}{7} = \frac{2}{7}
\]

Now, add the two fractions:

\[
\frac{1.5}{7} + \frac{2}{7} = \frac{1.5 + 2}{7} = \frac{3.5}{7}
\]

Finally, simplify:

\[
\frac{3.5}{7} = 0.5
\]

So, the value of the expression is \( 0.5 \).

Would you like more details on any step? Here are some related questions to explore:

1. What is the general process for adding fractions?
2. How do you multiply a fraction by a decimal?
3. How do you simplify fractions like \( \frac{3.5}{7} \)?
4. What are other ways to solve expressions involving fractions and decimals?
5. How does the distributive property apply to this problem?

**Tip:** When multiplying fractions by decimals, it's often helpful to convert the decimal into a fraction first!

Learn how to solve the expression 3/7(0.5) + 4/7(0.5) step-by-step. This problem covers essential concepts like fraction multiplication, addition, and simplification, suitable for students in Grades 6-8. Discover related mathematical tips and tricks to master working with fractions and decimals.

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