3 1/2 x 25: Understanding Multiplication with Mixed Numbers
Multiplication with mixed numbers can be a bit challenging, but with the right approach, it can be made easy. In this article, we will discuss the multiplication of 3 1/2 and 25.
What is a Mixed Number?
A mixed number is a combination of a whole number and a fraction. It is written in the form of a whole number followed by a fraction. For example, 3 1/2 is a mixed number, where 3 is the whole number and 1/2 is the fraction.
Multiplying 3 1/2 and 25
To multiply 3 1/2 and 25, we need to follow a few steps:
Step 1: Convert the Mixed Number to an Improper Fraction
To multiply a mixed number, we need to convert it to an improper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. To convert 3 1/2 to an improper fraction, we can multiply the whole number part (3) by the denominator (2) and then add the numerator (1).
3 1/2 = (3 x 2) + 1 = 6 + 1 = 7/2
Step 2: Multiply the Improper Fraction and 25
Now that we have an improper fraction, we can multiply it by 25.
7/2 × 25 = (7 × 25) / 2 = 175 / 2
Step 3: Simplify the Fraction
Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
175 ÷ 25 = 7 2 ÷ 2 = 1
So, 175 / 2 = 87 1/2
Conclusion
In conclusion, the product of 3 1/2 and 25 is 87 1/2. By following these simple steps, we can easily multiply mixed numbers with whole numbers. Remember to convert the mixed number to an improper fraction, multiply it with the whole number, and simplify the fraction to get the final answer.
