Simplifying Fractions: 10/16 x 6/16
When working with fractions, it's essential to know how to multiply them correctly. In this article, we'll explore the multiplication of two fractions: 10/16 and 6/16. Let's dive in and find the result of this operation.
Understanding the Fractions
Before we start multiplying, let's take a closer look at the fractions involved:
- 10/16: This fraction represents 10 equal parts out of a total of 16. To simplify this fraction, we can divide both the numerator (10) and the denominator (16) by their greatest common divisor (GCD), which is 2. This gives us a simplified fraction of 5/8.
- 6/16: Similarly, this fraction represents 6 equal parts out of a total of 16. We can simplify this fraction by dividing both the numerator (6) and the denominator (16) by their GCD, which is 2. This gives us a simplified fraction of 3/8.
Multiplying the Fractions
Now that we have our simplified fractions, we can multiply them:
(5/8) × (3/8) = ?
To multiply fractions, we multiply the numerators (5 and 3) and the denominators (8 and 8), like this:
(5 × 3) / (8 × 8) = 15 / 64
The Result
So, the result of multiplying 10/16 and 6/16 is:
15/64
There you have it! By simplifying the fractions and then multiplying them, we arrive at the result of 15/64.
