High School

Marci performed a division. 175 was the dividend, 5 was the divisor, and 35 was the quotient. Which is a correct representation of this problem?

A. [tex]\frac{175}{35} = 5[/tex]
B. [tex]5 \div 175 = 35[/tex]
C. [tex]\frac{175}{5} = 35[/tex]
D. [tex]35 \div 5 = 175[/tex]

Answer :

To solve the problem, let's break down each component of the division:

1. Understand the Terminology:
- Dividend: The number being divided, which is 175 in this problem.
- Divisor: The number by which the dividend is divided, which is 5 here.
- Quotient: The result of the division, which is 35.

2. Perform the Division:
- We divide the dividend (175) by the divisor (5) to see if it equals the quotient (35).

3. Calculate:
- [tex]\( \frac{175}{5} = 35 \)[/tex]

4. Identify the Correct Representation:
- Based on the calculation, the division [tex]\( \frac{175}{5} = 35 \)[/tex] is correct because it matches the given quotient, which is 35.

5. Match with Given Options:
- Among the provided options:
- [tex]\( \frac{175}{5} = 35 \)[/tex]

So, the correct representation of this problem is [tex]\(\frac{175}{5} = 35\)[/tex].

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