Use Fraction to Decimal Converter online free
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Fraction to decimal conversion table
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.33333333 |
| 2/3 | 0.66666667 |
| 1/4 | 0.25 |
| 2/4 | 0.5 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.16666667 |
| 2/6 | 0.33333333 |
| 3/6 | 0.5 |
| 4/6 | 0.66666667 |
| 5/6 | 0.83333333 |
| 1/7 | 0.14285714 |
| 2/7 | 0.28571429 |
| 3/7 | 0.42857143 |
| 4/7 | 0.57142858 |
| 5/7 | 0.71428571 |
| 6/7 | 0.85714286 |
| 1/8 | 0.125 |
| 2/8 | 0.25 |
| 3/8 | 0.375 |
| 4/8 | 0.5 |
| 5/8 | 0.625 |
| 6/8 | 0.75 |
| 7/8 | 0.875 |
| 1/9 | 0.11111111 |
| 2/9 | 0.22222222 |
| 3/9 | 0.33333333 |
| 4/9 | 0.44444444 |
| 5/9 | 0.55555556 |
| 6/9 | 0.66666667 |
| 7/9 | 0.77777778 |
| 8/9 | 0.88888889 |
| 1/10 | 0.1 |
| 2/10 | 0.2 |
| 3/10 | 0.3 |
| 4/10 | 0.4 |
| 5/10 | 0.5 |
| 6/10 | 0.6 |
| 7/10 | 0.7 |
| 8/10 | 0.8 |
| 9/10 | 0.9 |
| 1/11 | 0.09090909 |
| 2/11 | 0.18181818 |
| 3/11 | 0.27272727 |
| 4/11 | 0.36363636 |
| 5/11 | 0.45454545 |
| 6/11 | 0.54545454 |
| 7/11 | 0.63636363 |
| 8/11 | 0.72727272 |
| 9/11 | 0.81818181 |
| 10/11 | 0.90909091 |
How to Use the Fraction to Decimal Converter:
Enter the Fraction:
- In the “Enter fraction” section, input the numerator (the top number) and the denominator (the bottom number) of the fraction you wish to convert.
- For instance, if you want to convert the fraction 3/4 into a decimal, type
3in the numerator box and4in the denominator box.
Convert:
- Press the “Convert” button to calculate the decimal equivalent of the fraction. The result will appear in the “Decimal result” field.
- Continuing with the example of 3/4, the decimal result will be
0.75.
View the Calculation:
- The “Calculation” box will display the detailed steps used to convert the fraction into a decimal. This helps you understand how the result was derived.
- For example, it will show the division process:
3 ÷ 4 = 0.75.
Reset:
- If you want to clear all the input and output fields to start a new conversion, click the “Reset” button.
Applications of Fraction to Decimal Conversion:
Mathematics:
- Converting fractions to decimals is fundamental in various branches of mathematics, especially in arithmetic, algebra, and calculus.
- It helps simplify calculations, making it easier to perform addition, subtraction, multiplication, and division with fractions.
Science and Engineering:
- Fractions often appear in scientific measurements and engineering calculations. Converting them to decimals is crucial for precise calculations.
- For example, if a material’s strength is measured as 3/8 inches thick, converting this to a decimal (
0.375 inches) can simplify its use in formulas.
Finance:
- Financial calculations often involve fractions, such as interest rates, loan amortizations, and profit margins. Converting these fractions to decimals makes the calculations more straightforward and intuitive.
- For instance, a 1/8% interest rate is more easily understood as
0.125%when applied in financial equations.
Cooking and Baking:
- Recipes often call for fractions of ingredients (e.g., 1/4 cup of sugar). Converting these to decimals can help when you need to scale a recipe up or down or when using a measuring cup that only has decimal markings.
- Knowing that 1/4 equals
0.25cups allows for precise measurements.
Construction and Carpentry:
- In construction, precise measurements are essential. Converting fractional measurements to decimal form can facilitate more accurate calculations, particularly when using digital measuring tools that display results in decimals.
Education:
- Students learning fractions often use fraction to decimal conversion as a stepping stone to understanding more complex mathematical concepts. It’s an essential skill in most math curricula.
- Teachers may use this tool to demonstrate the conversion process and reinforce students’ understanding.
