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Tuesday, July 16, 2024

What is.625 as a Fraction and the Repeating Decimals

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Several people are there who want to know the fraction of certain numbers. So, they should know that there is calculator which is available that can convert a decimal number into fraction or a decimal number into a mixed number. If you want a repeating decimal, then you should enter in the converter calculator, how many decimals you want in your decimal number repeating. To know what is .625 as a fraction? continue reading.

Repeating Decimals and Entering It – 

If there is a repeating decimal like 0. 66666.. where the 6 repeats or keeps on repeating forever, then enter 0.6 and besides that, as 6 is the only 1 trailing decimal place that keeps on repeating, enter 1 for the decimal places to repeat. The answer is 2/3. If there is a repeating decimal like that of 0.363636 in which 36 repeats forever, then enter 0.36 and since 36 is the only 2 trailing number decimal places which repeats, enter 2 for the decimal places to repeat and the answer will be 4/11. For a repeating decimal like 1.8333, where 3 repeats always, enter 1.83, since the 3 is the only one trailing decimal place which repeats, enter 1 for the decimals places to repeat. The answer is 1 5/6. Apart from that, for a repeating decimal 0.857142857142857142, in which 857142 repeats forever, enter 0.857142 and since the 857142 has the 6 trailing decimal places, that repeats, you can enter 6 for decimals places to repeat. The answer will be 6/7/.

Converting Negative Decimal into a Fraction – 

To know what is .625 as a fraction check online. Firstly, for conversion of the negative decimal into a fraction you need to remove the negative sign from the decimal number. Then, perform the conversion of the decimals in the positive value. Later, apply the negative sign to the fraction answer somewhat like this If a = b then it is true that -a = -b.

How to Convert a Decimal to a Fraction – 

Firstly, you need to make a fraction with the decimal number as the numerator and 1 as the denominator. Numerator is the top number and denominator is the bottom number. For instance, 2/1 in which 2 is the numerator and 1 is the denominator. Then, remove the decimal places through multiplication. After that, count, how many places are there to the right of the decimal. Next, given that you have x decimal places, then multiply the numerator and the denominator by 10x. After that, reduce the fraction and identify the GCF (greatest common factor) of the numerator and denominator, then divide the numerator and the denominator by the GCF. Later, do the simplification of the remaining fraction to a mixed number fraction, if possible.

Illustrations to Convert 2.625 to a Fraction – 

You can look at this example and try to figure out what is .625 as a fraction?

First, rewrite the decimal number as a fraction (over 1) 2.625=2.6251. Next, multiply numerator and denominator by 103 = 1000 to eliminate 3 decimal places 2.6251×10001000=26251000. After that, find the Greatest Common Factor (GCF) of 2625 and 1000 and reduce the fraction, dividing both numerator and denominator by GCF = 125 2625÷1251000÷125=218. Simplify the improper fraction =258. Therefore, 2.625=258

Illustration of Decimal to Fraction – 

Here is also you can get to know what is .625 as a fraction? Convert 0.625 to a fraction. Multiply 0.625/1 by 1000/1000 to get 625/1000. Reducing we get 5/8.

Converting a Repeating Decimal into Fraction – 

Create an equation such that x equals the decimal number. Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y. Subtract the second equation from the first equation. Solve for x & reduce the fraction –

Illustration – 

Convert repeating decimal 2.666 to a fraction

Create an equation such that x equals the decimal number

Equation 1: x=2.666¯¯¯¯¯¯¯¯

Next, count the number of decimal places, y. There are 3 digits in the repeating decimal group, so y = 3. Create a second equation by multiplying both sides of the first equation by 103 = 1000

Equation 2: 1000x=2666.666¯¯¯¯¯¯¯¯

Subtract equation (1) from equation (2)

1000xx999x===2666.666…2.666…2664

You get,

999x=2664

Then, Solve for x, x=2664999

Reduce the fraction. Find the Greatest Common Factor (GCF) of 2664 and 999 and reduce the fraction, dividing both numerator and denominator by GCF = 333

2664÷333999÷333=83

Simplify the improper fraction

=223

Therefore,

2.666¯¯¯¯¯¯¯¯=223

Repeating Decimal to Fraction – 

For another illustrations, convert repeating decimal 0.333 to a fraction. To know what is .625 as a fraction, check above. Create the first equation with x equal to the repeating decimal number: x = 0.333. There are 3 repeating decimals. Create the second equation by multiplying both sides of (1) by 103 = 1000: 1000X = 333.333 (2) Subtract equation (1) from (2) to get 999x = 333 and solve for x, x = 333/999. Reducing the fraction, we get x = 1/3. So, the answer is: x = 0.333 = 1/3

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Conclusion – 

So, now let’s look into these areas, you have a decimal, but what you require is a fraction, specifically let’s say that you have the decimal 0.625 and you want to convert it into a fraction, then you should know the relationship between the decimals and the fractions. A portion of the whole number is represented by the decimal. In the first place after the decimal point, it is known as the 10th place, the 2nd place is 100s place and the third place is 1000s place decimal place. The number 1.10, a one with 2 decimal places behind it, can be seen as 1 and one-tenth.

You just have to jot down that decimals have a close link with the percent’s 1.00 is just 100% and if you want to get any number behind the decimal point in percentage, all that you have to do is move the decimal point over 2 places to the right, so you would get 0.12 and it would become 12%.

Besides that, how can one convert decimal to fraction, that is also very simple and easy to understand. All that, you have to do is simply take the decimal and place the corresponding number of places used. Let’s take a example, you have decimal 0.412, then 2 is in thousand place, so we could just put it this way that, it is equal to 412/1000 also known as 41.2%.

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