# Convert 2/3 to Decimal – Quick & Easy Guide

Did you know that converting fractions to decimals is a crucial skill that we often encounter in our everyday lives? Whether it’s calculating measurements, solving equations, or understanding financial percentages, decimal conversions play a vital role. One common fraction that you may come across is 2/3. So, what is 2/3 as a decimal? Let’s find out!

### Key Takeaways

• To convert a fraction like 2/3 to a decimal, divide the numerator (2) by the denominator (3).
• A calculator can make fraction to decimal conversions quick and effortless.
• If you prefer a manual approach, long division is a reliable method for converting fractions to decimals.
• When the denominator is a factor of 10, moving the decimal point to the left is a handy technique.
• Repeating decimals can be rounded to the nearest hundredth or thousandth for easier understanding.

## Converting Fractions to Decimals Using Calculator

When it comes to converting fractions to decimals, using a calculator can make the process quick and effortless. All you need to do is divide the numerator by the denominator using a calculator, and you’ll have the decimal form of the fraction in no time.

Let’s take an example to illustrate this method. To convert 2/3 to a decimal, simply divide 2 by 3 using your calculator. The result is:

2 ÷ 3 = 0.666666667

Keep in mind that since fractions can sometimes have repeating decimals, the decimal representation may extend beyond what is displayed on the calculator screen. To round the decimal, round it to the desired decimal place based on your needs.

Using a calculator to convert fractions to decimals is a straightforward and efficient method, especially when dealing with complex or large fractions. It eliminates the need for manual calculations and reduces the chances of errors.

FractionDecimal
1/20.5
3/40.75
5/80.625
7/100.7

Remember, the calculator method allows you to convert fractions to decimals quickly and accurately, providing the decimal representation of the fraction you need for your calculations.

## Converting Fractions to Decimals Using Long Division

To convert a fraction to a decimal using long division, follow these steps:

1. Place the numerator inside the division box and the denominator outside. For example, if we want to convert 2/3 to a decimal:
Step 1: `` 2````÷ 3``
1. Perform long division to divide the numerator by the denominator. Begin with the first digit of the numerator and divide it by the denominator. Write the quotient above the division line.
Step 2: `` 2````÷ 3```` -1``
1. Bring down the next digit of the numerator and continue dividing. If there are no more digits to bring down, add zeros after the decimal point and continue dividing.
Step 3: `` 2````÷ 3```` -1.```` 0``
1. Keep dividing until you obtain the desired level of precision or until the division terminates.
Step 4: `` 2````÷ 3```` -1.```` 3```` 0``
1. The resulting quotient is the decimal form of the fraction. In this case, 2/3 is equal to approximately 0.6666…

Using long division is a reliable method to convert fractions to decimals. It provides a step-by-step approach that allows for precise calculations. This method can be used for any fraction and provides accurate results for decimal representation.

## Converting Fractions to Decimals with Denominators that are Factors of 10

When the denominator of a fraction is a factor of 10, such as 10, 100, or 1,000, converting the fraction to a decimal becomes simple and straightforward. All you need to do is move the decimal point to the left as many places as there are zeros in the denominator. This method allows for easy decimal conversion without any complicated calculations.

Let’s consider an example. Suppose we have the fraction 2/100. Since the denominator is 100, which has two zeros, we will move the decimal point two places to the left. As a result, the fraction 2/100 can be converted to the decimal 0.02.

“When the denominator is a factor of 10, simply move the decimal point to the left based on the number of zeros in the denominator.”

The table below provides additional examples of converting fractions with denominators that are factors of 10 to their decimal equivalents.

Denominator (Factor of 10)FractionDecimal Equivalent
103/100.3
1,0005/1,0000.005
1007/1000.07

The image above visually represents the conversion process of converting a fraction with a denominator that is a factor of 10 to a decimal by moving the decimal point to the left.

By using this method, you can easily and quickly convert fractions to decimals whenever the denominator is a factor of 10. It’s a useful technique to have in your mathematical toolkit and can come in handy in various real-life and academic situations that involve calculations.

## Rounding Repeating Decimals

When working with repeating decimals, where the digits repeat endlessly, you may need to round them to a specific place value. This rounding is often done to the nearest hundredth or thousandth. To accomplish this, follow these steps:

1. Identify the rounding place value (hundredth or thousandth) that you want to round to.
2. Look at the digit immediately after the rounding place value. If the digit is 5 or higher, round up; if it’s 4 or lower, round down.
3. If you round up, increase the value of the rounding place value by 1. If you round down, keep the value of the rounding place value as is.
4. Replace all the digits after the rounding place value with zeros.

For example, let’s say we have the repeating decimal 0.375555. If we want to round it to the thousandth’s place, we look at the digit immediately after the thousandth’s place, which is 5. Since 5 is higher, we round up. Thus, the rounded decimal is 0.376.

If we want to round the same repeating decimal to the hundredth’s place, we again look at the digit immediately after the hundredth’s place, which is also 5. Again, since 5 is higher, we round up. Therefore, the rounded decimal in this case would be 0.38.

By following this rounding method, you can effectively approximate the value of repeating decimals to a desired place value, making them easier to work with in various calculations.

DecimalRounded to the Thousandth’s PlaceRounded to the Hundredth’s Place
0.3755550.3760.38

## Converting Fractions to Decimals Without Calculator

Converting fractions to decimals can be done even without a calculator by using the long division method. This method allows you to convert fractions into their decimal equivalents more accurately. By following a few simple steps, you can easily convert any fraction into a decimal form.

### Long Division Method for Converting Fractions to Decimals

1. Step 1: Write down the numerator of the fraction inside the division box.
2. Step 2: Write down the denominator of the fraction outside the division box.
3. Step 3: Begin the long division process by dividing the numerator by the denominator.
4. Step 4: Continue dividing until you either reach a repeating decimal or the desired level of precision.

Let’s take an example to illustrate the long division method.

Example: Convert the fraction 3/4 to a decimal without using a calculator.

Using long division, we divide 3 by 4:

0.75
4)3.75
.72
30.3
——-
005

The resulting quotient is 0.75, which is the decimal form of the fraction 3/4.

By using the long division method, you can convert any fraction to its decimal equivalent without the need for a calculator. This method is particularly useful when you don’t have access to a calculator or want to develop a better understanding of how fractions and decimals relate to each other. Practice the long division method, and soon you’ll be able to convert fractions to decimals effortlessly.

## Converting Fractions to Decimals Using Shifted Decimal Method

In addition to the long division method, another approach to converting fractions to decimals is the shifted decimal method. This technique involves moving the decimal point in the numerator to the left the same number of places as there are zeros in the denominator.

Let’s take the fraction 2/10 as an example. The denominator has one zero, so we move the decimal point in the numerator one place to the left. The resulting decimal form is 0.2.

This method allows for a quick conversion of fractions to decimals when the denominator contains zeros.

When using the shifted decimal method, remember to count the number of zeros in the denominator and move the decimal point in the numerator accordingly. This process ensures that the resulting decimal form accurately represents the fraction. By understanding and utilizing different conversion methods, such as the shifted decimal method, you can confidently convert fractions to decimals in various mathematical calculations and applications.

For additional information and examples, you can refer to the Math is Fun website, which provides a comprehensive guide on converting fractions to decimals.

## Converting Fractions to Decimals by Multiplying by Common Factors

In the previous sections, we explored different methods to convert fractions to decimals, such as using a calculator, long division, and the shifted decimal method. Another effective approach is to convert fractions to decimals by multiplying both the numerator and denominator by a common factor.

By multiplying the numerator and denominator by the same number, we can manipulate the fraction to have a denominator that is a factor of 10. This makes it easier to convert the fraction to a decimal because we can then simply move the decimal point to the left.

Let’s take an example to illustrate this method. Consider the fraction 2/5. To convert it to a decimal, we can multiply both the numerator and denominator by 2:

(2 * 2) / (5 * 2) = 4/10

Now, with a denominator of 10, we can simply move the decimal point one place to the left, resulting in the decimal form of the fraction: 0.4.

This method can be particularly useful when dealing with fractions that don’t have a denominator that is a factor of 10. By strategically choosing a common factor to multiply both the numerator and denominator, we can simplify the fraction and convert it to a decimal with ease.

ExampleOriginal FractionMultiplicationSimplified FractionDecimal
13/8(3 * 2) / (8 * 2)6/160.375
27/25(7 * 4) / (25 * 4)28/1000.28
39/16(9 * 10) / (16 * 10)90/1600.5625
45/6(5 * 2) / (6 * 2)10/120.8333

By multiplying the numerator and denominator by common factors, we can convert fractions to decimals more conveniently. This method allows us to transform fractions with any denominator into the decimal form, simplifying mathematical calculations (source: Fact Monster).

### Try Practice Exercises

To enhance your understanding of converting fractions to decimals using common factors, consider practicing with the following exercises:

1. Convert 3/7 to a decimal by multiplying by a common factor.
2. Convert 4/9 to a decimal by multiplying by a common factor.
3. Convert 2/11 to a decimal by multiplying by a common factor.

By applying this method consistently, you’ll gain confidence in converting fractions to decimals efficiently and accurately.

## Conclusion

Converting fractions to decimals is an essential skill in mathematics, with several methods available to achieve accurate results.

Whether you prefer using a calculator, employing long division, or utilizing specific strategies like the shifted decimal method or multiplying by common factors, each method offers a reliable way to determine the decimal form of a fraction. By understanding and practicing these methods, you can confidently convert any fraction to its decimal representation.

These conversion techniques are not only helpful in solving math problems but also find practical applications in various fields. Whether you’re calculating measurements, working with percentages, or analyzing data, knowing how to convert fractions to decimals allows for precision and efficiency.

## FAQ

### What is 2/3 as a decimal?

To convert 2/3 to a decimal, divide 2 by 3. The resulting decimal is 0.6667 (rounded to four decimal places).

### How can I convert 2/3 to a decimal?

There are multiple ways to convert 2/3 to a decimal. One way is to use a calculator and divide 2 by 3 to get 0.6667. Another method is to perform long division, placing 2 inside the division box and 3 outside, resulting in a quotient of 0.6667. You can also multiply both the numerator and denominator by a common factor, such as 10, to make the denominator a factor of 10, resulting in 0.6667.

### How do I convert a fraction to a decimal using a calculator?

To convert a fraction to a decimal using a calculator, simply divide the numerator by the denominator. For example, to convert 2/3 to a decimal, divide 2 by 3 using a calculator, resulting in 0.6667.

### How can I convert a fraction to a decimal using long division?

To convert a fraction to a decimal using long division, place the numerator inside the division box and the denominator outside. Perform long division to divide the numerator by the denominator. The resulting quotient is the decimal form of the fraction. For example, for 2/3, divide 2 by 3 to get 0.6667.

### What should I do if the denominator is a factor of 10?

If the denominator is a factor of 10, such as 10, 100, or 1,000, you can easily convert the fraction to a decimal by moving the decimal point to the left as many places as there are zeros in the denominator. For example, to convert 2/100 to a decimal, move the decimal two places to the left to get 0.02.

### How do I round repeating decimals?

If you have a repeating decimal where the digits repeat endlessly, you can round it to the nearest hundredth or thousandth. Round up if the digit after the rounding place is 5 or higher, and round down if it’s 4 or lower. For example, if you have 0.375555, you can round it to the thousandth’s place to get 0.376 or to the hundredth’s place to get 0.38.

### How can I convert a fraction to a decimal without a calculator?

If you don’t have a calculator, you can still convert a fraction to a decimal using long division. Follow the long division method, where you divide the numerator by the denominator. The resulting quotient is the decimal form of the fraction. For example, for 2/3, perform long division to get 0.6667.

### What is the shifted decimal method for converting fractions to decimals?

The shifted decimal method involves moving the decimal in the numerator to the left the same number of places as there are zeros in the denominator. For example, for 2/10, you move the decimal one place to the left to get 0.2 as the decimal form.

### How can I convert a fraction to a decimal by multiplying by common factors?

By multiplying the numerator and denominator by a common factor, you can make the denominator a factor of 10, making it easier to convert the fraction to a decimal. Multiply both the numerator and denominator by the same number to get a factor of 10 in the denominator. The resulting value is the decimal form of the fraction. For example, for 2/3, you can multiply both the numerator and denominator by 10 to get 20/30, which is equivalent to 0.6667.

### What are the different methods for converting fractions to decimals?

There are different methods for converting fractions to decimals. Some common methods include using a calculator, performing long division, using the shifted decimal method, or multiplying by common factors. Each method provides a way to determine the decimal form of a fraction accurately and can be used depending on the specific situation or preference.

BaronCooke

Baron Cooke has been writing and editing for 7 years. He grew up with an aptitude for geometry, statistics, and dimensions. He has a BA in construction management and also has studied civil infrastructure, engineering, and measurements. He is the head writer of measuringknowhow.com