Which of the following types of numeric values includes fractions?

The type of numeric values that includes fractions is the float. A float, or floating-point number, is specifically designed to represent real numbers that can have decimal points. This representation allows for the inclusion of fractional components, meaning values can be expressed with precision that goes beyond whole numbers.

In contrast, short integers, long integers, and standard integers are all designed to store whole numbers without any fractional or decimal part. Each of these types has specific ranges and uses for whole numbers, but they cannot accommodate decimal values. Therefore, when numerical calculations require fractions or very precise values, the float type is the most appropriate choice. This characteristic makes floats essential in various applications where data precision is critical, such as scientific computation and statistical analysis.