4 1/2 x 2/3 as a Fraction: A Step-by-Step Guide
When working with mixed numbers and fractions, it's essential to understand how to multiply them correctly. In this article, we'll explore how to multiply 4 1/2 by 2/3 as a fraction.
Understanding the Mixed Number 4 1/2
Before we dive into the multiplication, let's break down the mixed number 4 1/2. A mixed number is a combination of a whole number and a fraction.
4 1/2 can be written as:
4 + 1/2
To convert this mixed number into an improper fraction, we can multiply the whole number part (4) by the denominator (2) and then add the numerator (1).
(4 x 2) + 1 = 9/2
So, 4 1/2 is equivalent to the improper fraction 9/2.
Multiplying 9/2 by 2/3
Now that we have converted 4 1/2 into an improper fraction, we can multiply it by 2/3.
(9/2) × (2/3)
To multiply fractions, we simply multiply the numerators (9 and 2) and multiply the denominators (2 and 3).
(9 × 2) / (2 × 3) = 18/6
Simplifying the Fraction 18/6
We can simplify the fraction 18/6 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 6.
18 ÷ 6 = 3
6 ÷ 6 = 1
So, the simplified fraction is:
3/1
Final Answer
Therefore, the result of multiplying 4 1/2 by 2/3 as a fraction is:
3/1
Which is equal to 3.
