Simplifying the Fraction: 14/3 x 1/2 as a Fraction
In this article, we will explore how to simplify the fraction 14/3 x 1/2.
Step 1: Multiply the Numerators
To multiply two fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom). In this case, the numerators are 14 and 1, and the denominators are 3 and 2.
14 (numerator) x 1 (numerator) = 14
Step 2: Multiply the Denominators
Now, let's multiply the denominators.
3 (denominator) x 2 (denominator) = 6
Step 3: Write the Product as a Fraction
Now that we have multiplied the numerators and denominators, we can write the product as a fraction.
14 (numerator) / 6 (denominator) = 14/6
Step 4: Simplify the Fraction (Optional)
In this case, we can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 14 and 6 is 2. So, we can divide both numbers by 2.
14 ÷ 2 = 7 6 ÷ 2 = 3
7/3
And there you have it! The simplified fraction of 14/3 x 1/2 is 7/3.
