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How can you predict whether a fraction will give a recurring or terminating decimal?
Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator. If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.
What is 2.833 as a fraction?
To express 2.833 as a fraction, we first need to convert the decimal to a fraction. Since 2.833 has three decimal places, we can write it as 2.833 = 2833/1000. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1. Therefore, 2.833 as a fraction is 2833/1000.
How do you write 56.25 percent as a fraction?
To write 56.25 percent as a fraction, first remove the percentage sign and divide by 100 to convert it to a decimal. 56.25% is equal to 0.5625 as a decimal. Next, express this decimal as a fraction by writing it as 5625/10000. Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 25. Therefore, 56.25% as a fraction is 225/400.
What is 1.86 as a fraction?
To express 1.86 as a fraction, we first need to consider the decimal places. Since there are two decimal places in 1.86, we can rewrite it as 186/100. Next, we simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2. Therefore, 1.86 as a fraction is 93/50.
What is the lowest term 0.07 as a fraction?
0.07 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, since it is a decimal fraction, there is not another simpler decimal form. Its equivalent, in rational form, is 7/100 which cannot be simplified.
How do you express the value of the recurring decimal 0.423 as a common factor?
It is 423/999, which can be simplified, if required.
How can you predict whether a fraction will give a recurring or terminating decimal?
Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator. If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.
How do you create an equivalente representation for a decimal when given the fraction?
To convert a fraction into a decimal divide the numerator (top number) by the denominator (bottom number). When the fraction is as simple as possible (no common factor between the numerator and denominator other than 1) and the denominator has any prime factor other than 2 and 5, the resulting decimal will be recurring.
What is the equivalent decimal to 0.23?
To convert a decimal to a fraction, you can write it as the decimal number over a power of 10. In this case, 0.23 can be written as 23/100. To simplify this fraction, you can divide both the numerator and denominator by their greatest common factor, which in this case is 1. Therefore, the equivalent decimal to 0.23 is 23/100.
What is 1.64 as a fraction?
To express 1.64 as a fraction, we first need to understand that the decimal 1.64 can be written as 1.64/1. To convert this decimal to a fraction, we need to move the decimal point two places to the right to make it a whole number, which gives us 164/100. Then, we simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 4. Therefore, 1.64 as a fraction is 41/25.
How do you write 56.25 percent as a fraction?
To write 56.25 percent as a fraction, first remove the percentage sign and divide by 100 to convert it to a decimal. 56.25% is equal to 0.5625 as a decimal. Next, express this decimal as a fraction by writing it as 5625/10000. Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 25. Therefore, 56.25% as a fraction is 225/400.
How do you express 0.3 as a common fraction?
3/10
What is 0.0009999 As a fraction?
To express 0.0009999 as a fraction, we first count the number of decimal places, which is four. Next, we write the decimal as the numerator over 10 raised to the power of the number of decimal places, which gives us 9999/10000. Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 1, resulting in the simplified fraction 9999/10000.
What is 8.32 in simple form of a fraction?
To express 8.32 as a simple fraction, we first need to convert the decimal to a fraction. Since 8.32 has two decimal places, we can write it as 832/100. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common factor, which is 4. This gives us the simplified form of 208/25.
What is 1.86 as a fraction?
To express 1.86 as a fraction, we first need to consider the decimal places. Since there are two decimal places in 1.86, we can rewrite it as 186/100. Next, we simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2. Therefore, 1.86 as a fraction is 93/50.
What is 25.2 as a fraction?
To express 25.2 as a fraction, we first need to consider the decimal point. Since 25.2 has one decimal place, we can write it as 25.2/10, as the decimal point represents tenths. To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2. This gives us the simplified fraction 126/5.
What do you put behind a decimal when it repeats?
If you're dealing with a recurring decimal then it is common practice to place a dot over the digit that recurs, e.g. the fraction 1/3 written as a decimal would have a dot placed over the second or third digit (in this case a 3) behind the decimal point to idicate that it recurrs infinitely.
