12 x 4 1/2 =?
The Correct Answer and Explanation is :
The equation you’re asking to solve is:
[ 12 \times 4 \frac{1}{2} ]
Step 1: Convert the mixed fraction to an improper fraction
A mixed fraction is a whole number and a fraction combined. To simplify the multiplication, convert the mixed fraction into an improper fraction.
[
4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2}
]
So, the equation becomes:
[
12 \times \frac{9}{2}
]
Step 2: Perform the multiplication
Now, multiply the whole number by the fraction. When multiplying a whole number by a fraction, multiply the whole number by the numerator of the fraction and then divide by the denominator. Here’s how:
[
12 \times \frac{9}{2} = \frac{12 \times 9}{2} = \frac{108}{2}
]
Step 3: Simplify the result
Now, divide 108 by 2:
[
\frac{108}{2} = 54
]
Final Answer:
The result of ( 12 \times 4 \frac{1}{2} ) is 54.
Explanation:
In this problem, we multiplied a whole number (12) by a mixed fraction (4 1/2). The process of converting the mixed fraction to an improper fraction allows for easier multiplication. Once converted, we multiplied the whole number by the numerator of the improper fraction (9) and then divided the product by the denominator (2). This method of fraction multiplication makes the calculation straightforward and ensures accuracy in the result.