Simplify the fraction:

Simplify the fraction: \frac{39}{50}

Final Answer:

The fraction \frac{39}{50} is already in its simplest form since the only common factor between the numerator and denominator is 1. It can also be expressed as the decimal 0.78 or 78% as a percentage.

Explanation:

To simplify the fraction \frac{39}{50}, we need to check if there are any common factors between the numerator (39) and the denominator (50).

Find Factors:

The factors of 39 are: 1, 3, 13, 39.
The factors of 50 are: 1, 2, 5, 10, 25, 50.
Common Factors:

The only common factor between 39 and 50 is 1.
Simplification:

Since the only common factor is 1, the fraction \frac{39}{50} is already in its simplest form.
Additionally, we can express this fraction as a decimal:

\frac{39}{50}=0.78

This shows that the fraction corresponds to 78% when converted to a percentage.

Hence,
\frac{39}{50} cannot be simplified any further.

Examples & Evidence:

For example, a fraction like \frac{8}{12} can be simplified because both 8 and 12 have common factors (4), making it \frac{2}{3}. This illustrates the process of finding common factors and simplifying a fraction.

The process of simplifying fractions involves identifying common factors, and in the case of \frac{39}{50}, the only common factor is 1, indicating it cannot be simplified further.

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