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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 0.28 in lowest fraction?
To express 0.28 as a fraction in its lowest terms, we first note that 0.28 can be written as 28/100. Then, we simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4. Therefore, 0.28 in its lowest fraction form is 7/25.
What is 0.00078 as a fraction?
To convert 0.00078 to a fraction, we need to determine the place value of the last digit, which is the thousandths place. Since there are three zeros after the decimal point, we can express 0.00078 as 78/100, which simplifies to 39/50 when divided by the greatest common factor of 2. Therefore, 0.00078 as a fraction is 39/50.
What is 9.625 as a fraction?
To express 9.625 as a fraction, we first need to convert the decimal to a fraction. Since there are three decimal places, we can write 9.625 as 9625/1000. To simplify this fraction, we divide both the numerator and the denominator by their greatest common factor, which is 25. This gives us the simplified fraction 385/40, which can be further reduced to 77/8.
How do you compare a decimal to a mixed number?
First you convert the decimal into a mixed-number/fraction. Then you have to find the common denominator and compare.
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.
How do you express 0.3 as a common fraction?
3/10
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.
How do you change a fraction to a decimal or percent if the fraction is not common?
Any kind of fraction becomes decimal notation if you divide the denominator into the numerator. Any decimal notation becomes a percent if you multiply it by 100.
What is the fraction for 0.46 repeating?
0.464646.... To convert to a fraction. Let P = 0.464646.... 100P = 46.464646.... Subtract 99P = 46 Note the repeating decimal subtract to zero. P = 46/99 Is the fraction ,as neither 46. nor '99' have common factors.
Express 12.5 percent as a reduced common fraction?
12.5% = 1/8
What is 0.28 in lowest fraction?
To express 0.28 as a fraction in its lowest terms, we first note that 0.28 can be written as 28/100. Then, we simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4. Therefore, 0.28 in its lowest fraction form is 7/25.
What is 0.00078 as a fraction?
To convert 0.00078 to a fraction, we need to determine the place value of the last digit, which is the thousandths place. Since there are three zeros after the decimal point, we can express 0.00078 as 78/100, which simplifies to 39/50 when divided by the greatest common factor of 2. Therefore, 0.00078 as a fraction is 39/50.
What does a fraction and a decimal have an common?
They are both ways of representing parts of whole numbers.
How do you write 0.409 as a fraction?
1 decimal place equals a denominator of 10 2 decimal places equal a denominator of 100 3 decimal places equal a denominator of 1,000 Since there are 3 decimal places in 0.409, we would make 1,000 the denominator and 409 the numerator. Which makes your fraction 409/1,000.
