To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Multiply 4 and 2: 4 × 2 = 8
- Divide 8 by 5: 8 ÷ 5 = 1.6
To express 1.6 as a fraction, we can write it as:
1.6 = 16/10 = 8/5
So, 4 × 2 divided by 5 in fraction form is 8/5.
Understanding Fractions and Division
Fractions are a way to represent part of a whole as a ratio of two numbers. Division is the operation of sharing a quantity into equal parts. When we divide a number by another number, we are essentially finding the quotient or the result of sharing.
In the case of dividing a fraction by a whole number, we can convert the whole number to a fraction with a denominator of 1. Then, we can invert the second fraction (i.e., flip the numerator and denominator) and multiply.
For example, to divide 4/5 by 2, we can convert 2 to a fraction as 2/1, then invert it to 1/2, and multiply:
(4/5) ÷ (2/1) = (4/5) × (1/2) = 4/10 = 2/5
Real-World Applications of Fractions and Division
Fractions and division are used in various real-world scenarios, such as:
- Cooking: Recipes often involve fractions of ingredients, and division is used to scale up or down.
- Finance: Fractions are used to represent interest rates, investment returns, and division is used to calculate costs and profits.
- Science: Fractions are used to represent ratios and proportions in scientific measurements, and division is used to calculate rates and densities.
Common Mistakes When Working with Fractions and Division
When working with fractions and division, it's essential to avoid common mistakes, such as:
- Not following the order of operations
- Not inverting the second fraction when dividing
- Not simplifying fractions before performing operations
- Not converting mixed numbers to improper fractions
By avoiding these mistakes, you can ensure accurate calculations and a deeper understanding of fractions and division.
Tips for Mastering Fractions and Division
To become proficient in working with fractions and division, try the following tips:
- Practice regularly to build your skills and confidence
- Use visual aids, such as diagrams and charts, to represent fractions and division
- Break down complex problems into simpler steps
- Check your work by estimating or using a calculator
By following these tips, you can improve your understanding of fractions and division and become more proficient in your calculations.
Conclusion
In conclusion, 4 × 2 divided by 5 in fraction form is 8/5. Understanding fractions and division is crucial for various real-world applications, and by avoiding common mistakes and practicing regularly, you can become more proficient in your calculations.
We hope you found this article helpful! Share your thoughts and questions in the comments below.
What is the order of operations?
+The order of operations is PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
How do I convert a mixed number to an improper fraction?
+To convert a mixed number to an improper fraction, multiply the whole number part by the denominator, then add the numerator. Write the result as the new numerator over the original denominator.
What is the difference between a fraction and a ratio?
+A fraction represents part of a whole, while a ratio represents a comparison between two quantities.