Let's solve this problem step-by-step:
1. Let's put this in a fraction format:
6834 ÷ 17 = [tex]\frac{6834}{17}[/tex]
2. Now we know 6834 = 6800 + 34
⇒ so:
[tex]\frac{6834}{17} =\frac{6800+34}{17} =\frac{6800}{17} +\frac{34}{17}[/tex]
3. Now let's convert the fractions to denominators
[tex]\frac{6800}{17} +\frac{34}{17} =[/tex] (6800 ÷ 17) + (34 ÷ 17)
Let's check:
- 6834 ÷ 17 = 402
- (6800 ÷ 17) + (34 ÷ 17) = (400) + (2) = 400 + 2 = 402
Answer: (6800 ÷ 17) + (34 ÷ 17) or Choice (C)
