12 1/2 x 3/5: A Step-by-Step Guide to Multiplying Mixed Numbers
Multiplying mixed numbers can be a bit challenging, but with the right approach, it can be a breeze. In this article, we'll take you through the step-by-step process of multiplying 12 1/2 by 3/5.
Understanding Mixed Numbers
Before we dive into the multiplication process, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 12 1/2 is a mixed number, where 12 is the whole number and 1/2 is the fraction.
Multiplying 12 1/2 by 3/5
To multiply 12 1/2 by 3/5, we need to follow these steps:
Step 1: Convert the Mixed Number to an Improper Fraction
To convert the mixed number 12 1/2 to an improper fraction, we need to multiply the whole number part (12) by the denominator (2) and then add the numerator (1).
12 × 2 = 24 24 + 1 = 25
So, the improper fraction equivalent to 12 1/2 is 25/2.
Step 2: Multiply the Fractions
Now that we have an improper fraction, we can multiply it by the other fraction, 3/5.
25/2 × 3/5 = ?
To multiply fractions, we need to multiply the numerators (25 and 3) and multiply the denominators (2 and 5).
25 × 3 = 75 2 × 5 = 10
So, the product of the fractions is 75/10.
Step 3: Simplify the Fraction
The final step is to simplify the fraction, if possible. In this case, we can divide both the numerator and the denominator by their greatest common divisor, which is 5.
75 ÷ 5 = 15 10 ÷ 5 = 2
So, the final answer is 15/2 or 7 1/2.
Conclusion
Multiplying mixed numbers can be a bit challenging, but by following these steps, you can easily multiply 12 1/2 by 3/5 to get the answer 7 1/2. Remember to convert the mixed number to an improper fraction, multiply the fractions, and simplify the final answer. With practice, you'll become a pro at multiplying mixed numbers!
