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!