Simplifying Fractions: 4/12 x 3/11 as a Fraction
When working with fractions, it's essential to understand how to simplify them to their lowest terms. In this article, we'll explore how to simplify the fraction 4/12 x 3/11.
The Initial Fraction
The given fraction is:
4/12 x 3/11
To simplify this fraction, we need to follow the order of operations (PEMDAS):
- Multiply the numerators (numbers on top)
- Multiply the denominators (numbers on the bottom)
- Simplify the resulting fraction
Multiplying the Numerators
First, let's multiply the numerators:
4 x 3 = 12
Multiplying the Denominators
Next, let's multiply the denominators:
12 x 11 = 132
The Resulting Fraction
Now, let's combine the results:
12/132
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 12 and 132.
The GCD of 12 and 132 is 12.
Divide both the numerator and the denominator by 12:
12 ÷ 12 = 1 132 ÷ 12 = 11
The Simplified Fraction
The simplified fraction is:
1/11
Therefore, the simplified fraction of 4/12 x 3/11 is 1/11.
