Converting fractions to decimal form is an essential math skill that can be useful in various aspects of life, from cooking and finance to science and engineering. In this article, we will explore three different methods to convert the fraction 2/3 to its decimal equivalent.
Method 1: Long Division
The first method to convert 2/3 to a decimal is by using long division. This involves dividing the numerator (2) by the denominator (3) using a division symbol or a long division diagram.
To start, divide 2 by 3 using a division symbol:
2 ÷ 3 =?
Perform the division:
0.666...
The result is a repeating decimal, which can be rounded to a certain number of decimal places depending on the desired level of precision.
Advantages of Long Division
- Can be used to convert any fraction to a decimal
- Helps to develop mental math skills and understanding of place value
- Can be used to check the accuracy of other conversion methods
Method 2: Equivalent Fractions
The second method to convert 2/3 to a decimal is by using equivalent fractions. This involves finding a fraction that is equivalent to 2/3 but has a denominator that is a power of 10 (e.g., 10, 100, 1000).
To convert 2/3 to a decimal using equivalent fractions, follow these steps:
- Multiply the numerator and denominator by 10 to get an equivalent fraction with a denominator of 10:
2/3 × 10/10 = 20/30
- Multiply the numerator and denominator by 10 again to get an equivalent fraction with a denominator of 100:
20/30 × 10/10 = 200/300
- Simplify the fraction by dividing both the numerator and denominator by 10:
200/300 = 2/3
- Write the fraction as a decimal:
2/3 = 0.666...
This method can be useful when converting fractions to decimals with a specific number of decimal places.
Advantages of Equivalent Fractions
- Can be used to convert fractions to decimals with a specific number of decimal places
- Helps to develop understanding of equivalent ratios and proportions
- Can be used to simplify complex fractions
Method 3: Decimal Conversion Chart
The third method to convert 2/3 to a decimal is by using a decimal conversion chart. This involves looking up the fraction 2/3 in a chart or table that lists common fractions and their decimal equivalents.
Here is a sample decimal conversion chart:
| Fraction | Decimal Equivalent |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.333... |
| 2/3 | 0.666... |
| 3/4 | 0.75 |
Using this chart, we can look up the fraction 2/3 and find its decimal equivalent:
2/3 = 0.666...
This method is quick and easy, but it requires having access to a decimal conversion chart or table.
Advantages of Decimal Conversion Chart
- Quick and easy to use
- Can be used to convert common fractions to decimals
- Can be used as a reference tool to check the accuracy of other conversion methods
Now that we have explored three different methods to convert 2/3 to a decimal, you can try practicing each method to see which one works best for you.
We hope this article has been informative and helpful. If you have any questions or comments, please feel free to share them below.
What is the decimal equivalent of 1/2?
+The decimal equivalent of 1/2 is 0.5.
What is the decimal equivalent of 3/4?
+The decimal equivalent of 3/4 is 0.75.
How can I convert a fraction to a decimal using long division?
+To convert a fraction to a decimal using long division, divide the numerator by the denominator using a division symbol or a long division diagram.