How to Convert Decimals to Fractions: Easy Steps Explained
Learn how to convert decimals to fractions with this simple, step-by-step guide. Perfect for students and anyone looking to improve math skills.
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To convert a decimal to a fraction, follow these steps: Take the decimal (e.g., 0.75), write it as the numerator over 1 (0.75/1). Multiply both the numerator and denominator by 10 for each decimal place until you reach an integer (0.75 × 100/1 × 100 = 75/100). Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator (GCD of 75 and 100 is 25, so 75/100 simplifies to 3/4).
FAQs & Answers
- What is the best way to convert a decimal to a fraction? The best way to convert a decimal to a fraction is by writing the decimal as a numerator over 1, then multiplying by 10 for each decimal place to eliminate the decimal point, and finally simplifying the fraction.
- How do you simplify a fraction? To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by that number. For example, for the fraction 75/100, the GCD is 25, so simplified it becomes 3/4.
- Can every decimal number be converted into a fraction? Yes, every decimal number can be converted into a fraction. Terminating decimals can be easily converted, while repeating decimals may require a more complex conversion method.
- Why is it important to convert decimals to fractions? Converting decimals to fractions is important in mathematics for exact calculations, especially in contexts requiring precise measurements, such as engineering, carpentry, and when dealing with rational numbers.