Understanding Fractions and Decimals
Fractions and decimals are two different ways to represent parts of a whole. Fractions are written as a numerator (the top number) over a denominator (the bottom number), while decimals are written as a number with a decimal point. For example, the fraction 1⁄2 can be written as the decimal 0.5.
In this worksheet, we will learn how to convert fractions into decimals. This is an important skill to master, as it will help you to better understand and work with fractions and decimals in math and real-life situations.
Step-by-Step Instructions for Converting Fractions to Decimals
Converting fractions to decimals is a simple process. Here are the steps:
- Write the fraction: Write the fraction that you want to convert to a decimal.
- Divide the numerator by the denominator: Divide the numerator (the top number) by the denominator (the bottom number).
- Write the result as a decimal: Write the result of the division as a decimal.
Let’s try an example:
Example 1: Convert the fraction 3⁄4 to a decimal.
- Write the fraction: 3⁄4
- Divide the numerator by the denominator: 3 ÷ 4 = 0.75
- Write the result as a decimal: 0.75
Practice Exercises
Now it’s your turn to practice converting fractions to decimals. Here are some exercises to help you get started:
- Convert the fraction 2⁄5 to a decimal.
- Convert the fraction 3⁄10 to a decimal.
- Convert the fraction 1⁄2 to a decimal.
- Convert the fraction 4⁄5 to a decimal.
- Convert the fraction 2⁄3 to a decimal.
📝 Note: Remember to divide the numerator by the denominator to get the decimal result.
More Practice Exercises
Here are some more practice exercises to help you master the skill of converting fractions to decimals:
| Fraction | Decimal |
|---|---|
| 1⁄4 | |
| 2⁄3 | |
| 3⁄5 | |
| 1⁄10 | |
| 3⁄4 |
Fill in the decimal results for each fraction.
Challenging Exercises
Here are some challenging exercises to help you apply your skills:
- Convert the fraction 2 3⁄4 to a decimal.
- Convert the fraction 1 1⁄2 to a decimal.
- Convert the fraction 3 3⁄5 to a decimal.
📝 Note: Remember to convert the mixed number to an improper fraction before dividing.
Conclusion
Converting fractions to decimals is an important math skill that can help you to better understand and work with fractions and decimals. By following the steps outlined in this worksheet, you can become proficient in converting fractions to decimals. Remember to practice regularly to build your confidence and fluency.
What is the difference between a fraction and a decimal?
+A fraction is a way to represent a part of a whole, written as a numerator over a denominator. A decimal is a way to represent a part of a whole, written as a number with a decimal point.
How do I convert a fraction to a decimal?
+To convert a fraction to a decimal, divide the numerator by the denominator.
What is a mixed number?
+A mixed number is a number that is a combination of a whole number and a fraction.
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