What is the simplified result of dividing 3000 by 1600?

To find the simplified result of dividing 3000 by 1600, you'll want to perform the division first and then simplify the resulting fraction.

Starting with the division, you can express the problem as follows: 3000 ÷ 1600 = 3000/1600.

Both of these numbers can be simplified by finding their greatest common divisor (GCD). The GCD of 3000 and 1600 is 400.

Now, you can simplify the fraction by dividing both the numerator and the denominator by their GCD: 3000 ÷ 400 = 7.5, 1600 ÷ 400 = 4.

So the fraction simplifies to: 3000/1600 = 7.5/4.

To express this as a fraction in simplest form, you can multiply by 10 to get whole numbers: 7.5 can be rewritten as 75/10.

Thus, (75/10) ÷ (4/1) = 75/40.

Now, simplifying this further: Both 75 and 40 can be divided by 5, which gives: 75 ÷ 5 = 15 and 40 ÷ 5 = 8.

Thus, the