# Simplifying 19/21 into a Fraction

The fraction 19/21 can be simplified into a simpler fraction. Simplifying a fraction is the process of reducing it to its simplest form. To simplify a fraction, one needs to divide the numerator and denominator of the fraction by the greatest common factor (GCF). In this case, the GCF is 3. Dividing the numerator and denominator of the fraction 19/21 by 3, we get 19/21 = 6/7.

## How to Find the Greatest Common Factor (GCF)?

The greatest common factor (GCF) is the largest number that divides both the numerator and denominator of a fraction. To find the GCF, one must first list out the factors of the numerator and denominator. For 19/21, the factors of 19 are 1, 19 and the factors of 21 are 1, 3, 7, 21. The greatest common factor (GCF) is 3. Therefore, 19/21 can be simplified to 6/7.

## How to Simplify a Fraction?

To simplify a fraction, one must divide the numerator and denominator by the greatest common factor (GCF). This will reduce the fraction to its simplest form. For example, to simplify the fraction 18/20 one needs to find the GCF first. The factors of 18 are 1, 2, 3, 6, 9 and 18 while the factors of 20 are 1, 2, 4, 5, 10 and 20. The greatest common factor (GCF) is 2. Therefore, 18/20 can be simplified to 9/10.

## Uses of Simplifying Fractions

Simplifying fractions is a useful tool for solving problems in mathematics. It can help to reduce the complexity of equations and make it easier to solve them. Simplifying fractions can also be used to compare fractions and find equivalent fractions. For example, if one wants to compare the fractions 2/3 and 4/6, one needs to simplify them first. After simplifying the fractions, one can see that 2/3 is equivalent to 4/6.

## Conclusion

In conclusion, the fraction 19/21 can be simplified to 6/7. To do this, one must first find the greatest common factor (GCF) of the numerator and denominator. This can be done by listing out the factors of the numerator and denominator. Once the GCF is found, one can divide the numerator and denominator of the fraction by the GCF to simplify it. Simplifying fractions is a useful tool for solving problems in mathematics and comparing fractions.

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Simplifying fractions is a simple process that can help to reduce the complexity of equations and make it easier to solve problems. It can also be used to compare fractions and find equivalent fractions. By understanding how to simplify fractions and finding the greatest common factor (GCF), one can easily reduce fractions to their simplest form.