Simplifying Fractions: 3/5 x 5/8
In this article, we will explore how to multiply two fractions together, specifically 3/5 and 5/8, and simplify the result.
The Multiplication of Fractions
When multiplying fractions, we need to follow the correct order of operations. The formula to multiply two fractions is:
a/b × c/d = (a × c) / (b × d)
In our case, we have:
3/5 × 5/8 = (3 × 5) / (5 × 8)
Calculating the Product
Let's calculate the product of the numerators (3 and 5) and the product of the denominators (5 and 8):
Numerators: 3 × 5 = 15 Denominators: 5 × 8 = 40
Now, we can write the result as a fraction:
15/40
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD is 5.
15 ÷ 5 = 3 40 ÷ 5 = 8
So, the simplified fraction is:
3/8
Conclusion
In conclusion, the result of multiplying 3/5 and 5/8 is 3/8. By following the correct order of operations and simplifying the fraction, we can arrive at the final answer.
I hope this article helps you understand how to multiply fractions and simplify the result!
