Operating with Fractions: 2 1/2 × 4/5
Introduction
Fractions are an essential part of mathematics, and understanding how to operate with them is crucial for success in various mathematical concepts. In this article, we will explore the multiplication of mixed numbers, specifically the problem 2 1/2 × 4/5.
Understanding Mixed Numbers
A mixed number is a combination of a whole number and a fraction. It is written in the form of a b/c, where a is the whole number and b/c is the fraction part. For example, in the mixed number 2 1/2, 2 is the whole number, and 1/2 is the fraction part.
Multiplying Mixed Numbers
To multiply mixed numbers, we need to follow the rules of fraction multiplication. Here are the steps:
- Change the mixed numbers into improper fractions: Convert the mixed numbers into improper fractions by multiplying the whole number part by the denominator and then adding the numerator.
- Multiply the numerators and denominators: Multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately.
- Simplify the fraction: Simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Solving the Problem: 2 1/2 × 4/5
Let's apply the steps above to solve the problem:
Step 1: Convert mixed numbers into improper fractions
2 1/2 = (2 × 2 + 1)/2 = 5/2 4/5 = 4/5 (already an improper fraction)
Step 2: Multiply the numerators and denominators
(5 × 4)/(2 × 5) = 20/10
Step 3: Simplify the fraction
20/10 = 2 (divide both numerator and denominator by 10)
Therefore, 2 1/2 × 4/5 = 2.
Conclusion
In this article, we have demonstrated the multiplication of mixed numbers, specifically the problem 2 1/2 × 4/5. By converting mixed numbers into improper fractions and following the rules of fraction multiplication, we can solve such problems with ease. Practice makes perfect, so be sure to try more examples to solidify your understanding of operating with fractions!
