Fraction Operations: Simplifying 1/2 × 8/9
In this article, we will explore the simplification process of the fraction 1/2 × 8/9.
The Given Fraction
The given fraction is 1/2 × 8/9. To simplify this fraction, we need to follow the rules of fraction multiplication.
Multiplying Fractions
When multiplying fractions, we multiply the numerators (numbers on top) and denominators (numbers at the bottom) separately.
Numerators: 1 × 8 = 8
Denominators: 2 × 9 = 18
The Result
So, the result of multiplying 1/2 and 8/9 is:
8/18
Simplifying the Fraction
We can simplify the fraction 8/18 by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 8 and 18 is 2. Therefore, we can simplify the fraction as follows:
8 ÷ 2 = 4 18 ÷ 2 = 9
The simplified fraction is:
4/9
Therefore, the simplified form of 1/2 × 8/9 is 4/9.
