Fractions in Action: 6 1/4 × 2/5
In this article, we will explore the fascinating world of fractions and learn how to multiply two mixed numbers: 6 1/4 and 2/5. If you're ready to dive into the world of fractions, let's get started!
What are Mixed Numbers?
Mixed numbers are a combination of a whole number and a fraction. They are often used to represent quantities that are not whole. For example, 6 1/4 represents 6 whole units and 1/4 of another unit.
Multiplying Mixed Numbers
To multiply two mixed numbers, we need to follow a simple rule:
- Convert both mixed numbers to improper fractions.
- Multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom).
- Simplify the resulting fraction.
Let's apply this rule to our problem: 6 1/4 × 2/5.
Converting Mixed Numbers to Improper Fractions
6 1/4 = 25/4 (multiply 6 by 4 and add 1) 2/5 = 2/5 (no conversion needed)
Multiplying the Numerators and Denominators
Multiply the numerators: 25 × 2 = 50 Multiply the denominators: 4 × 5 = 20
Resulting Fraction: 50/20
Simplifying the Resulting Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 50 and 20 is 10.
Simplified Fraction: 5/2
Final Answer
So, 6 1/4 × 2/5 = 5/2 or 2 1/2.
Congratulations! You have successfully multiplied two mixed numbers. Do you have more questions about fractions or would you like to practice with more examples?
