National Testing Network (NTN) Firefighter Testing System (FireTEAM) Math Practice Test

To determine the result of dividing 3,200 by 1,700 and expressing it as a fraction, you start by writing the division as a fraction:

\[ \frac{3200}{1700} \]

Next, simplify this fraction. Both numbers can be divided by their greatest common divisor. To find the GCD, you can use prime factorization or recognize that both 3,200 and 1,700 can be simplified.

Calculating each value:

- 3,200 can be factored into 32 and 100, or more simply recognized as \(32 \times 100\).

- 1,700 can also be factored into 17 and 100.

Now simplify the fraction by dividing both the numerator and denominator by 100:

\[ \frac{3200 \div 100}{1700 \div 100} = \frac{32}{17} \]

Next, you simplify \( \frac{32}{17} \). This fraction is already in its simplest form. However, if you look for decimal or mixed number equivalents, dividing 32 by 17 gives approximately 1.882, which could lead to estimates but not to a simple fraction from the choices presented.

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