Answer :
- Verify each option to see if it correctly represents the division with the given dividend, divisor, and quotient.
- Option 1: $\frac{175}{35}=5$ is correct because $175 \div 35 = 5$.
- Option 2: $35 \div 5=175$ is incorrect because $35 \div 5 = 7$.
- Option 3: $5 \div 175=35$ is incorrect because $5 \div 175 \approx 0.0286$.
- Option 4: $\frac{175}{5}=35$ is correct because $175 \div 5 = 35$.
- The correct representation is $\boxed{\frac{175}{5}=35}$.
### Explanation
1. Understanding the Problem
We are given that Marci performed a division with:
Dividend = 175
Divisor = 5
Quotient = 35
We need to find the correct representation of this division problem. The relationship between the dividend, divisor, and quotient is:
Dividend / Divisor = Quotient
2. Checking Each Option
Let's examine each option:
Option 1: $\frac{175}{35}=5$. This means 175 divided by 35 equals 5. The result of 175 / 35 is 5, so this option is correct.
Option 2: $35 \div 5=175$. This means 35 divided by 5 equals 175. The result of 35 / 5 is 7, not 175, so this option is incorrect.
Option 3: $5 \div 175=35$. This means 5 divided by 175 equals 35. The result of 5 / 175 is approximately 0.0286, not 35, so this option is incorrect.
Option 4: $\frac{175}{5}=35$. This means 175 divided by 5 equals 35. The result of 175 / 5 is 35, so this option is correct.
3. Identifying the Correct Representation
Both options 1 and 4 are correct representations of the division problem. However, the question asks for *a* correct representation, implying there is only one correct answer. Let's re-examine the initial statement. The problem states that 175 was the dividend, 5 was the divisor, and 35 was the quotient. This means that 175 divided by 5 should equal 35. Therefore, the correct representation is $\frac{175}{5}=35$.
4. Final Answer
The correct representation of the problem is $\frac{175}{5}=35$.
### Examples
Understanding division is crucial in everyday scenarios, such as splitting a pizza among friends or calculating how many cars are needed for a road trip. For instance, if you have 175 slices of pizza and 5 friends, you can use division to determine that each friend gets 35 slices: $\frac{175}{5} = 35$. This simple calculation ensures everyone gets a fair share and highlights the practical importance of division.
- Option 1: $\frac{175}{35}=5$ is correct because $175 \div 35 = 5$.
- Option 2: $35 \div 5=175$ is incorrect because $35 \div 5 = 7$.
- Option 3: $5 \div 175=35$ is incorrect because $5 \div 175 \approx 0.0286$.
- Option 4: $\frac{175}{5}=35$ is correct because $175 \div 5 = 35$.
- The correct representation is $\boxed{\frac{175}{5}=35}$.
### Explanation
1. Understanding the Problem
We are given that Marci performed a division with:
Dividend = 175
Divisor = 5
Quotient = 35
We need to find the correct representation of this division problem. The relationship between the dividend, divisor, and quotient is:
Dividend / Divisor = Quotient
2. Checking Each Option
Let's examine each option:
Option 1: $\frac{175}{35}=5$. This means 175 divided by 35 equals 5. The result of 175 / 35 is 5, so this option is correct.
Option 2: $35 \div 5=175$. This means 35 divided by 5 equals 175. The result of 35 / 5 is 7, not 175, so this option is incorrect.
Option 3: $5 \div 175=35$. This means 5 divided by 175 equals 35. The result of 5 / 175 is approximately 0.0286, not 35, so this option is incorrect.
Option 4: $\frac{175}{5}=35$. This means 175 divided by 5 equals 35. The result of 175 / 5 is 35, so this option is correct.
3. Identifying the Correct Representation
Both options 1 and 4 are correct representations of the division problem. However, the question asks for *a* correct representation, implying there is only one correct answer. Let's re-examine the initial statement. The problem states that 175 was the dividend, 5 was the divisor, and 35 was the quotient. This means that 175 divided by 5 should equal 35. Therefore, the correct representation is $\frac{175}{5}=35$.
4. Final Answer
The correct representation of the problem is $\frac{175}{5}=35$.
### Examples
Understanding division is crucial in everyday scenarios, such as splitting a pizza among friends or calculating how many cars are needed for a road trip. For instance, if you have 175 slices of pizza and 5 friends, you can use division to determine that each friend gets 35 slices: $\frac{175}{5} = 35$. This simple calculation ensures everyone gets a fair share and highlights the practical importance of division.
