To solve the expression \( \frac{2}{1} \div 4 + \frac{7}{1} \div 3 \), we will first simplify each part:

1. Simplify the first part: 
\[
\frac{2}{1} \div 4 = \frac{2}{1} \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2}
\]

2. Simplify the second part:
\[
\frac{7}{1} \div 3 = \frac{7}{1} \times \frac{1}{3} = \frac{7}{3}
\]

Now add the two results:
\[
\frac{1}{2} + \frac{7}{3}
\]

To add these fractions, we need a common denominator. The least common denominator of 2 and 3 is 6:

\[
\frac{1}{2} = \frac{3}{6}, \quad \frac{7}{3} = \frac{14}{6}
\]

Now add:
\[
\frac{3}{6} + \frac{14}{6} = \frac{17}{6}
\]

So, the result is \( \frac{17}{6} \), or approximately \( 2.83 \).

Would you like more details on any step?

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Here are 5 related questions:

1. How do you find a common denominator when adding fractions?
2. Can you explain how to simplify fractions in general?
3. What are the steps to multiply and divide fractions?
4. How do you convert a mixed number into an improper fraction?
5. How can you check your work when adding fractions?

**Tip:** Always look for the least common denominator when adding fractions—it simplifies calculations!

Learn how to solve the fraction expression 2/1 ÷ 4 + 7/1 ÷ 3 step-by-step. This problem involves fraction division, simplifying fractions, and adding fractions with a common denominator. Ideal for students in Grades 6-8.

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