What is 3000 divided by 1600 simplified?

To simplify the division of 3000 by 1600, you can start by writing it as a fraction:

[

\frac{3000}{1600}

]

Next, both the numerator (3000) and the denominator (1600) can be divided by their greatest common divisor (GCD) to simplify the fraction. The GCD of 3000 and 1600 is 400.

Dividing both the numerator and the denominator by 400 gives you:

[

\frac{3000 \div 400}{1600 \div 400} = \frac{7.5}{4}

]

To further simplify (\frac{7.5}{4}), it can be helpful to convert 7.5 to a fraction. Since 7.5 is the same as (\frac{15}{2}), you can rewrite the division as:

[

\frac{15/2}{4}

]

This is equivalent to multiplying by the reciprocal of 4, which is (\frac{1}{4}):

[

\frac{15}{2} \times \frac{1}{4} = \frac{15}{8}

]

This fraction