If 2,000 is compared to 200, what is this represented as a fraction?

To determine how 2,000 compares to 200 when represented as a fraction, we start by understanding the relationship between the two numbers. When comparing two quantities as a fraction, we set up the fraction with the first number (2,000) as the numerator and the second number (200) as the denominator.

Thus, we form the fraction:

[ \frac{2000}{200} ]

Next, we simplify this fraction. To do this, we can divide both the numerator and the denominator by the same number. In this case, we can divide by 200:

[ \frac{2000 \div 200}{200 \div 200} = \frac{10}{1} ]

This simplification shows that 2000 is actually 10 times larger than 200, which can also be expressed as the whole number 10, or, in terms of a fraction, it can imply the part of a whole.

To express 200 as a fraction of 2,000, we can invert our perspective:

[ \frac{200}{2000} ]

Now, simplifying this, we divide both the numerator and the denominator by 200:

[ \frac{200 \