Simplifying Fractions: 12/11 x 9/12 as a Fraction
When it comes to simplifying fractions, there are certain rules and steps to follow to get the correct answer. In this article, we will explore how to simplify the fraction 12/11 x 9/12.
Understanding the Multiplication of Fractions
Before we dive into the simplification process, let's first understand how to multiply fractions. When multiplying two fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers at the bottom), like this:
(a/b) x (c/d) = (a * c) / (b * d)
Calculating 12/11 x 9/12
Now, let's apply this rule to our original fraction:
12/11 x 9/12 = ?
To multiply these fractions, we need to multiply the numerators and multiply the denominators:
Numerators: 12 x 9 = 108 Denominators: 11 x 12 = 132
So, the result of the multiplication is:
108/132
Simplifying the Fraction
Now that we have the result of the multiplication, we need to simplify the fraction. To do this, we need to find the greatest common divisor (GCD) of both the numerator and the denominator.
The GCD of 108 and 132 is 12. Therefore, we can divide both the numerator and the denominator by 12:
108 ÷ 12 = 9 132 ÷ 12 = 11
So, the simplified fraction is:
9/11
Conclusion
In this article, we have learned how to simplify the fraction 12/11 x 9/12. By following the rules of fraction multiplication and simplification, we were able to get the final answer of 9/11.
