What is 3,184 divided by 1600 represented as a fraction?

To express 3,184 divided by 1,600 as a fraction, the first step is to set it up as ( \frac{3184}{1600} ). Next, simplify this fraction by finding the greatest common divisor (GCD) of both numbers.

The GCD of 3184 and 1600 can be calculated by prime factorization or using the Euclidean algorithm. However, for practical purposes, we can simplify directly by dividing both the numerator and the denominator by common factors.

After simplifying ( \frac{3184}{1600} ), you might find that both the numerator and the denominator can be reduced significantly. When carrying out the division, you actually get a decimal form, which is ( 1.99 ). When you convert this back into fraction form, it approaches a value just under 2.

Now focusing on how ( \frac{3,184}{1,600} ) simplifies down: When the fraction is accurately reduced, it results in ( \frac{79}{40} ). This decimal corresponds to ( 1.975 ), which is closest to ( 2 ).

However, since the question is framed regarding the standard fraction forms listed, we can