Simplifying Fractions: 5/18 x 4/15
In this article, we will learn how to multiply two fractions and simplify the result. Specifically, we will focus on the multiplication of 5/18 and 4/15.
Multiplying Fractions
To multiply two fractions, we need to follow the rule:
a/b × c/d = (a × c) / (b × d)
In our case, we have:
5/18 × 4/15
Calculating the Product
Let's follow the rule:
(5 × 4) / (18 × 15)
First, we multiply the numerators (the numbers on top):
5 × 4 = 20
Next, we multiply the denominators (the numbers on the bottom):
18 × 15 = 270
Now, we can write the product as:
20/270
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 20 and 270. The GCD is the largest number that divides both numbers without leaving a remainder.
Using the Euclidean algorithm, we can find the GCD of 20 and 270:
GCD(20, 270) = 10
Now, we can divide both the numerator and the denominator by the GCD:
20 ÷ 10 = 2 270 ÷ 10 = 27
The simplified fraction is:
2/27
Conclusion
In conclusion, the product of 5/18 and 4/15 is 2/27. By following the rules of multiplying fractions and simplifying the result, we can obtain a simplified fraction that is easier to work with.
Remember, when multiplying fractions, it's essential to follow the rule and simplify the result to get the correct answer.
