Simplifying the Fraction: 1/2 × 4/3
In mathematics, fractions are a fundamental concept used to represent a part of a whole. When working with fractions, it's essential to understand how to simplify them to their most basic form. In this article, we'll explore how to simplify the fraction 1/2 × 4/3.
What is the Meaning of 1/2 × 4/3?
The expression 1/2 × 4/3 represents the multiplication of two fractions. To simplify this expression, we need to multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.
Multiplying the Numerators
The numerators of the two fractions are 1 and 4, respectively. When we multiply them together, we get:
1 × 4 = 4
Multiplying the Denominators
The denominators of the two fractions are 2 and 3, respectively. When we multiply them together, we get:
2 × 3 = 6
Simplifying the Fraction
Now that we've multiplied the numerators and denominators, we can write the resulting fraction as:
4/6
However, this fraction can be simplified further by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2. This gives us:
2/3
Therefore, the simplified fraction is 2/3.
Conclusion
In this article, we've learned how to simplify the fraction 1/2 × 4/3 by multiplying the numerators and denominators separately and then simplifying the resulting fraction. The final answer is 2/3, which is the simplest form of the original expression.
