Simplifying Fractions: 2/3 x 12/17 x 1/4
When working with fractions, it's essential to know how to multiply and simplify them. In this article, we'll explore how to simplify the fraction 2/3 x 12/17 x 1/4.
Step 1: Multiply the Fractions
To multiply fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom). Then, we'll write the product as a new fraction.
(2/3) × (12/17) × (1/4) = ?
First, let's multiply the numerators:
2 × 12 × 1 = 24
Next, let's multiply the denominators:
3 × 17 × 4 = 204
Now, we can write the product as a new fraction:
24/204
Step 2: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 24 and 204 is 12. So, we can divide both the numerator and the denominator by 12:
24 ÷ 12 = 2
204 ÷ 12 = 17
The simplified fraction is:
2/17
Final Answer
Therefore, the simplified fraction of 2/3 x 12/17 x 1/4 is 2/17.
Remember to always simplify your fractions to their simplest form to make calculations easier and more efficient.
