HOW DO YOU CONVERT FRANCTIONS TO DECIMALS

To convert fractions to decimals, you follow these steps:

1. **Divide the numerator by the denominator:** The fraction \(\frac{a}{b}\) is converted to a decimal by dividing \(a\) (the top number) by \(b\) (the bottom number). You can do this using a calculator or by long division.

2. **Understand repeating decimals:** Sometimes, the division will not result in a terminating decimal (one that ends). Instead, you might get a repeating decimal, which has digits that go on indefinitely. For instance, \(\frac{1}{3}\) results in 0.333..., where the 3 repeats indefinitely. This is often denoted as 0.\(\overline{3}\).

3. **Approximate when necessary:** If you get a repeating decimal but need a simpler number for practical purposes, you can round the decimal to a certain number of significant digits.

Would you like to see a specific example of converting a fraction to a decimal? Here are some related questions you might find useful:

1. How do you convert the fraction \(\frac{2}{3}\) to a decimal?
2. What is the decimal equivalent of \(\frac{5}{8}\)?
3. How can you tell if a fraction will result in a terminating decimal or a repeating decimal?
4. How do you convert mixed numbers to decimals?
5. What are the steps to perform long division for fraction-to-decimal conversion?
6. How do decimals compare to fractions in terms of precision and usage?
7. What tools can help in converting fractions to decimals?
8. How can rounding affect the accuracy of a decimal approximation of a fraction?

**Tip:** If you’re converting a fraction to a decimal manually and the numbers are large, using a calculator can help avoid errors in long division.

Learn how to convert fractions to decimals with our easy step-by-step guide. Understand the process of dividing the numerator by the denominator and recognizing repeating decimals. Includes practical examples like converting 2/3 to a decimal. Suitable for students in Grades 4-6.

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