What is 0.2 * as a fraction?
Answer: 0.2 as a fraction is 1/5.
What is 0.2 repeating as a percentage?
The percent form of 0.2 is written as 20%.
What is .2 converted into a fraction?
Answer: 0.2 when converted into a fraction is 1/5. To convert a decimal number into a fraction, we write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. Then, this fraction can be simplified.
What is .2 repeating as a fraction?
Practice Problem Answers. 0.2222… is equal to the fraction with 2 in its numerator (since that’s the single number after the decimal point that’s repeating over and over again) and 9 in its denominator. In other words, 0.2222… = 2/9.
Is 0.2 recurring 0.23 recurring?
To find the sum of 0.23 recurring and 0.2 recurring in simplest fraction form, convert both numbers to fractions. 0.23 recurring can be written as 23/99 and 0.2 recurring as 2/9. Adding these fractions together, the sum is 5/11.
How do I convert a repeating decimal to a fraction?
Multiply the decimal by 10 and subtract the original decimal from it. Finally, divide both sides by 9 to obtain the fractional form of the decimal. For example, 0.7 repeating would be 7/9, and 1.2 repeating would be 11/9.
What is 0.3 repeating as a fraction?
Answer: 0.3 repeating as a fraction is equal to 1/3.
Why is 0.2 the same as 1 5?
He discovered that 1/5 is equal to 2 tenths and wrote 0.2. if he renamed the whole as 100 hun- dredths and it was divided into 5 parts, then each part would be 20 hundredths, or 0.20. Likewise, if the whole was 1,000 thousandths, 1/5 would be 200 thousandths, or 0.200.
Is 0.2 repeating irrational?
Answer and Explanation: The decimal 0.2 is a rational number. It is a terminating decimal. All terminating decimals are rational numbers because they can be expressed as fractions. The decimal 0.2 can be expressed as the fraction 2/10.
Is 0.2 greater than 0.2 repeating?
Answer. Thus 0.2(repeating) is larger.
What is 0.5 repeating as a fraction?
Answer: 0.5 repeating as a fraction can be written as 5/9.
What is 0.2 as a decimal?
We can form equivalent decimals by adding zeros at the end of decimal numbers. So, the equivalent decimal of 0.2 is 0.20.
What is 0.2 as a whole number?
0.2 is 2 tenths or 2/10 which simplifies to 1/5. Fractions are ratios and hence strictly rational numbers. Whole numbers are a subset of rational numbers which can be expressed as a fraction with a denominator of 1 which this number can not be. Therefore it is not a whole number, but it is a rational number.
What is 0.333333333 as a fraction?
So we can see that our original decimal of 0.333333… is equal to the fraction 1/3.
What is 0.4 repeating as a fraction?
Answer: 0.4 repeating as a fraction can be written as 4/9 in fractions.
What is 0.18 repeating as a fraction?
Multiply by 18 to give 18/99 = 0.1818…. Reduce the fraction 18/99 (by dividing numerator and denominator by 9) to give 2/11 as the final answer.
What is 0.2 repeating to a fraction?
The fraction equivalent of the repeating decimal 0.2 with a line on top of the 2 is 2/9.
What is 0.2 repeated as a percent?
The percent form of 0.2 is written as 20%.
What is 0.23 repeating as a decimal?
0.23 with 3 repeating can be written as 0.2. 3 , where the dot on top of the 3 means a repeating number or pattern of numbers.
What is 0.3 as a fraction?
The numerator, or the top number, of the fraction is the same number as your decimal, without the decimal point. So, what is 0.3 as a fraction? It would be 3/10!
What is 0.5 as a fraction?
Answer: 0.5 as a fraction is written as 1/2.
Is 0.3 or 0.3 repeating bigger?
A repeating decimal is not necessarily bigger than a regular decimal. It seems like infinite decimal places should make the number “big”, but that is just a quirk of the decimal place system that we use.
How do you convert a repeating decimal to a fraction?
Repeated decimals can be converted into fractions by shifting the decimal to the right and subtracting the decimals. To do this, multiply the number by 10 to the second power, then subtract. For example, 0.363636 repeating is 4/11 and 0.7141414 repeating is 707/990.
How do I convert a recurring decimal to a fraction?
Multiply the decimal by 10 and subtract the original decimal from it. Finally, divide both sides by 9 to obtain the fractional form of the decimal. For example, 0.7 repeating would be 7/9, and 1.2 repeating would be 11/9.
Is 0.2 recurring a rational number?
Answer and Explanation: The decimal 0.2 is a rational number. It is a terminating decimal. All terminating decimals are rational numbers because they can be expressed as fractions. The decimal 0.2 can be expressed as the fraction 2/10.
How do you write 0.25 as a recurring fraction?
The number of zeroes you put in the denominator will equal the number of digits you have in the numerator. So, for the decimal 0.25, you would write it as 25/100. You can then simplify this fraction down to 1/4.
How do you write 0.5 as a recurring fraction?
Answer: 0.5 repeating as a fraction can be written as 5/9.
What is 0.2 repeating decimal as a fraction?
What does 0.2 repeating mean?
How to write a repeating decimal number as a fraction?
How do you convert 0.2 to a fraction?
Okay, so you’ve got this decimal, 0.2 repeating, and you want to know how to turn it into a fraction. Let’s break it down.
Understanding Repeating Decimals
First, let’s talk about what “repeating” means. A repeating decimal is a decimal where one or more digits keep going on forever. In our case, the 2 keeps repeating. We write it as 0.2 with a bar over the 2. That bar tells us that the 2 keeps repeating.
The Steps to Convert 0.2 Repeating to a Fraction
Here’s how we do it:
1. Set up an equation:
* Let x equal the decimal we’re trying to convert:
x = 0.2222…
2. Multiply to shift the decimal:
* Multiply both sides of the equation by 10:
10x = 2.2222…
3. Subtract the original equation:
* Subtract the first equation (x = 0.2222…) from the second equation (10x = 2.2222…):
10x – x = 2.2222… – 0.2222…
9x = 2
4. Solve for x:
* Divide both sides by 9:
x = 2/9
Therefore, 0.2 repeating is equivalent to the fraction 2/9.
Why Does This Work?
You might be wondering why this method works. Here’s the breakdown:
Shifting the decimal: Multiplying by 10 moves the decimal point one place to the right. This aligns the repeating part of the decimal, allowing us to subtract and get rid of the repeating part.
Solving for x: The subtraction eliminates the repeating decimals, leaving us with a simple equation to solve for x, which represents the original decimal.
Other Repeating Decimals
This method can be used to convert any repeating decimal into a fraction. Let’s look at another example:
0.757575…
1. Set up an equation:
x = 0.757575…
2. Multiply to shift the decimal:
100x = 75.7575…
3. Subtract the original equation:
100x – x = 75.7575… – 0.7575…
99x = 75
4. Solve for x:
x = 75/99
5. Simplify the fraction:
x = 25/33
Therefore, 0.757575… is equivalent to the fraction 25/33.
Key Takeaways
Repeating decimals can be converted to fractions.
The method involves setting up an equation, multiplying to shift the decimal, subtracting the original equation, and solving for x.
This method can be used for any repeating decimal.
FAQs
Q: How do I know how many times to multiply by 10?
A: You multiply by 10 as many times as the number of digits that repeat. In the example of 0.2 repeating, we multiplied by 10 once because only the digit “2” repeats. For 0.757575…, we multiplied by 100 because the digits “75” repeat.
Q: What if the repeating part doesn’t start right after the decimal point?
A: If the repeating part doesn’t start right away, you can still use this method. You’ll just need to adjust the multiplication factor. For example, for 0.12333…, you would first multiply by 10 to get 1.2333… and then multiply by 10 again to get 12.333…
Q: Can I convert all decimals to fractions?
A: No, only terminating decimals and repeating decimals can be converted to fractions. Terminating decimals have a finite number of digits after the decimal point (e.g., 0.5, 0.25, 0.75).
Q: What is the easiest way to convert a repeating decimal to a fraction?
A: The method described above is generally the easiest and most straightforward way to convert repeating decimals to fractions.
See more here: What Is 0.2 * As A Fraction? | What Is 0.2 Repeating As A Fraction
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