The conversion of mixed numbers, such as 1 5, to decimals is a fundamental operation in mathematics. This guide will provide a comprehensive understanding of the process, exploring various methods and showcasing practical examples.
Step 1: Convert the mixed number 1 5 to an improper fraction: 1 × 5 + 5 = 10/5
Step 2: Divide the numerator by the denominator: 10 ÷ 5 = 2
Therefore, 1 5 = 2 in decimal form.
2
5 ) 1
2
5 ) 1.0
-10
0
Therefore, 1 5 = 2 in decimal form.
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1. How do I convert 2 1/3 to decimal?
Using Method 1: (2 × 3 + 1) ÷ 3 = 7/3 ≈ 2.33
2. Can I use a calculator to convert 3 2/5 to decimal?
Yes, most calculators have a dedicated mixed number to decimal conversion function.
3. What is the decimal equivalent of 4 3/4?
4.75
4. How do I convert a decimal back to a mixed number?
5. Why is it important to convert mixed numbers to decimals?
Decimals allow for more precise calculations and comparisons.
6. What are some real-world applications of converting mixed numbers to decimals?
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