Multiplying Fractions: 1/2 x 3/5 x 4/9 as a Fraction
In this article, we will explore how to multiply fractions and simplify the result. Specifically, we will calculate the product of 1/2, 3/5, and 4/9, and express it as a single fraction.
Multiplying Fractions
To multiply fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
1/2 × 3/5 × 4/9
=(1 × 3 × 4) / (2 × 5 × 9)
=(12) / (90)
Simplifying the Fraction
Now, we need to simplify the resulting fraction. We can do this by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 12 and 90 is 6. So, we divide both numbers by 6:
=(12 ÷ 6) / (90 ÷ 6)
=(2) / (15)
Therefore, the product of 1/2, 3/5, and 4/9 as a fraction is:
2/15
This is the simplified form of the product of the three fractions.
Conclusion
In this article, we multiplied three fractions, 1/2, 3/5, and 4/9, and simplified the result. The final answer is 2/15, which is the product of the three fractions in its simplest form.
