The simplified form of $\frac{6}{20}$ is $\frac{3}{10}$.
To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
Identify the Numerator and Denominator:
Find the GCD of 6 and 20:
Divide Both Numerator and Denominator by the GCD:
Write the Simplified Fraction:
To ensure that the fraction has been simplified correctly, we can check that:
Since 3 and 10 have no common divisors other than 1, the fraction $\frac{3}{10}$ is indeed in its simplest form.
When simplifying fractions, it is important to find the GCD of the numerator and denominator. This ensures that the fraction is reduced to its simplest form. In the case of $\frac{6}{20}$, the GCD is 2, which means both the numerator and the denominator can be divided by 2 to reduce the fraction.
The simplified fraction $\frac{3}{10}$ represents the same value as $\frac{6}{20}$ but with smaller, more manageable numbers. Simplifying fractions makes them easier to work with, especially when performing arithmetic operations such as addition, subtraction, multiplication, or division with other fractions.
In conclusion, the fraction $\frac{6}{20}$ simplifies to $\frac{3}{10}$ by dividing both the numerator and the denominator by their GCD, which is 2. This process is a fundamental skill in mathematics that aids in the clear and concise representation of numerical values.