Which of the following expressions represents the fraction 3550​?35 ÷ 535 ÷ 5050 ÷ 357 ÷ 5

To determine which expression represents the fraction $\frac{3550}{35} \div \frac{535}{5050} \div \frac{357}{5}$, let's break down the calculations.

1. Break Down the Problem

We need to simplify the complex expression step-by-step. The expression involves division of fractions, which can be converted into multiplication by taking the reciprocal.

2. Relevant Concepts

The division of fractions can be expressed as: $a \div b = a \times \frac{1}{b}$

So, the expression can be rewritten as: $\frac{3550}{35} \times \frac{5050}{535} \times \frac{5}{357}$

3. Analysis and Detail

Let's simplify each fraction separately.

Step 1: Simplify $\frac{3550}{35}$

$\frac{3550}{35} = 101 \quad (\text{since } 3550 \div 35 = 101)$

Step 2: Simplify $\frac{5050}{535}$

$\frac{5050}{535} = 9.407 (approximated) \quad (\text{actual division result})$

Step 3: Simplify $\frac{5}{357}$

This fraction cannot be simplified further.

4. Final Calculation

Now, let's calculate the entire expression: $101 \times 9.407 \times \frac{5}{357}$ Calculating step-by-step:

1. Calculate $101 \times 9.407 \approx 948.407$
2. Calculate $\frac{5}{357} \approx 0.014$
3. Then, multiply $948.407 \times 0.014 \approx 13.284$

Verify and Summarize

• The intermediate values have been approximated where necessary.
• The final value of the total expression is approximately $13.284$.

Final Answer

The expression $\frac{3550}{35} \div \frac{535}{5050} \div \frac{357}{5}$ approximates to $13.284$.