Understanding Fractions: Calculating 3 1/5 x 1/5
When working with fractions, it's essential to understand how to multiply them correctly. In this article, we'll explore how to calculate the product of 3 1/5 and 1/5 as a fraction.
What does 3 1/5 mean?
Before we dive into the multiplication process, let's break down what 3 1/5 represents. The number 3 1/5 is a mixed number, which is a combination of a whole number and a fraction. It can be written as:
3 1/5 = 3 + 1/5
To convert this mixed number to an improper fraction, we can multiply the whole number part (3) by the denominator (5) and then add the numerator (1):
3 1/5 = (3 x 5) + 1 / 5 = 16/5
Multiplying 3 1/5 and 1/5
Now, let's multiply 3 1/5 and 1/5. We'll use the improper fraction representation of 3 1/5:
3 1/5 × 1/5 = 16/5 × 1/5
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(16 × 1) / (5 × 5) = 16/25
The result is an improper fraction, which we can simplify if possible. In this case, the fraction is already in its simplest form:
3 1/5 × 1/5 = 16/25
Conclusion
In conclusion, the product of 3 1/5 and 1/5 as a fraction is 16/25. Remember to follow the rules of fraction multiplication, and don't hesitate to break down mixed numbers into their improper fraction representations when needed.
