Simplifying Fractions: 12/20 and 6/9
In this article, we will discuss how to simplify two fractions: 12/20 and 6/9.
Simplifying 12/20
To simplify the fraction 12/20, we need to find the greatest common divisor (GCD) of 12 and 20.
The factors of 12 are: 1, 2, 3, 4, 6, and 12 The factors of 20 are: 1, 2, 4, 5, 10, and 20
The GCD of 12 and 20 is 4. Therefore, we can divide both the numerator and the denominator by 4 to simplify the fraction:
12 ÷ 4 = 3 20 ÷ 4 = 5
So, the simplified fraction is 3/5.
Simplifying 6/9
To simplify the fraction 6/9, we need to find the GCD of 6 and 9.
The factors of 6 are: 1, 2, 3, and 6 The factors of 9 are: 1, 3, and 9
The GCD of 6 and 9 is 3. Therefore, we can divide both the numerator and the denominator by 3 to simplify the fraction:
6 ÷ 3 = 2 9 ÷ 3 = 3
So, the simplified fraction is 2/3.
Conclusion
In conclusion, we have simplified two fractions: 12/20 = 3/5 and 6/9 = 2/3. Simplifying fractions is an essential skill in mathematics, and it can help us to better understand and work with fractions in various mathematical operations.
