Guide :

# what is pi as a decimal and a fraction

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## Research, Knowledge and Information :

### Pi - Wikipedia

Like all irrational numbers, π cannot be represented as a common fraction (also known as a simple or vulgar fraction), by the very definition of "irrational number ...

### Pi Approximations -- Math Fun Facts

Pi Approximations: Pi is the ratio of the circumference of a circle to its diameter. It is known to be irrational and its decimal ... A fraction with a ...

### Convert Decimals to Fractions - Math is Fun

Convert Decimals to Fractions . To convert a Decimal to a Fraction follow these steps: Step 1: Write down the decimal divided by 1, like this: decimal 1;

### Expressing a decimal number in radians in terms of pi in a ...

1. The problem statement, all variables and given/known data arctan(sin((3 / 4) * pi) * 2) = 0.955316618 I want to express that in terms of a fraction with reference ...

### Pi Continued Fraction -- from Wolfram MathWorld

The simple continued fraction for pi is given by [3; 7, 15, 1, 292, 1, 1, 1, 2, 1 ... R. W. Table of Simple Continued Fraction for and the Derived Decimal Approximation.

### Pi to one MILLION decimal places

Pi to one MILLION decimal places 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 ...

### Writing decimal radians in terms of Pi - Physics Forums

We've left it in decimal form in lectures, but I was just curious to know how I'd go about writing it in terms of Pi.

### What is the Best Fractional Representation of Pi? | WIRED

What is the Best Fractional Representation of Pi? ... Actually, I removed the first two fraction estimates because they sucked so bad the graph looked weird.

### Why can't pi be expressed as a fraction? - Quora

Why can't pi be expressed as a fraction? If pi is the ratio of a circle's circumference to its diameter, ... We don't "know" the entire decimal expansion of pi, ...

## Suggested Questions And Answer :

### How do you convert a decimal to a fraction?

Count the decimal places then write 1 in front of the same number of zeroes. Example: 0.1234. 4 decimal places so write 10000. Now take away the decimal point and make a fraction: 1234/10000. The fraction reduces: 617/5000. For recurring decimals count the decimal places over which the recurrence occurs and divide by the number made of as many 9's. Example: 0.027027027... The recurring pattern is 027, 3 decimals. 027/999=1/37. For decimals with a recurring section, force the decimal point so that it is immediately in front of the recurring part by counting how many decimal places there are before the recurring pattern. Example: 0.0583333... 3 decimal places before the recurring 3. Now multiply by 1000 (3 zeroes following 1): 58.333... Remember we multiplied by 1000. The recurring part is just one decimal, so we make the fraction 3/9=1/3. The large number is therefore 58 1/3. Convert this to an improper fraction: (3*58+1)/3=175/3. Now divide by the 1000 we multiplied with earlier: 175/3000=7/120.

### How can you change a decimal to a fraction?

You count the number of decimal places and write 1 followed by as many zeroes as there are decimal places. Then you take the figures after the decimal point as a whole number and divide by the number made up of the 1 and zeroes. That's your fraction. Example: 7.3125. 4 decimal places means we create the number 10000. Use this as the denominator: 3125/10000. This cancels down by dividing by 25 top and bottom: 125/400. We can divide further by 25: 5/16. So 7.3125=7 5/16. Another example: 0.0124=124/10000=31/2500.  What about recurring decimals? This time we write a row of 9's with as many 9's as their are recurring portions of the decimal: 0.285714285714285714... The recurring part is 285714 and so we need 6 nines in a row: 999999. We use this as the denominator with the recurring numbers as the numerator: 285714/999999=2/7. Another example: 1.076923. The fraction part is 76923/999999=1/13 and the number is 1 1/13. But what about 0.166666...? The recurring part doesn't start till after the 1. Multiply by 10 to move the decimal point: 1.666666. Now the recurring part is just 6 and the fraction is 6/9=2/3 and the complete number is 1 2/3 which we make into an improper fraction: 5/3. But we need to divide this by 10 because we multiplied by 10 earlier: (5/3)/10=5/30=1/6. Let's try another: 0.041666666... Multiply by 1000 to move the decimal point 3 places: 41.666666... which is 41 2/3=125/3. We now need to divide by 1000: 125/3000=1/24. Example: 7.00333333... Put the 7 aside for a moment. 0.00333333... Multiply by 100: 0.33333... which is 3/9=1/3. Now divide by 100: 1/300, and put the 7 back: 7 1/300.

### how to convert 321.143 into hexadecimal

Use remainder method to convert the decimal (base-10) to the hexadecimal (base-16).  Divide the given decimal, 321.143, into two parts: one is whole number part, 321, and the other is following fractional part, 0.143. In whole num. part, the decimal num., 321, is devided successively by the base of hexadecimal, 16, until the quotient is zero.  The hexadecimal num. is found by taking the remainders in the reverse order.  321÷ 16=20 R1, 20÷16=1 R4, 1÷16=0 R1  Therefore the hexdecimal num. for 321 is 141. In fractional part, the decimal fraction, 0.143, is multiplied successively by 16.  The hexadecimal fraction is formed from the integer part of the products taken in the same order in which they were determined.  0.143×16=2.288, 0.288×16=4.608, 0.608×16=9.728, 0.728×16=11.648, 0.648×16 =10.368, 0.368×16=5.888, 0.888×16=14.208   Since 10,11 and 14 in decimal num. are A,B and E in hexadecimal num. respectively.  Thus the hexdecimal fraction for decimal fraction, 0.143, is 0.249BA5E.  Therefore, the hexadecimal representation of decimal 321.143 is 141.249BA5E.   In the same manner, the octal representation of decimal 321.143 is 501.1111564.

### what is a decimal?

A decimal is a number writtten in decimal notation. When numbers are written in decimal notation, they are written with a decimal point. e.g. 132.74 is a decimal (number) But 132 is an integer - it is a whole number However 132. ( a decimal point after the number but no zeros) is also a decimal number For clarity, 132. should be written as 132.0 When you have one number (integer) over another number (integer) then that is a fraction e.g. 132 / 217 is a fraction, since the numerator is smaller than the denominator, and 217 / 132 is an improper fraction, because the numerator is greater than the denominator. A compound fraction, or mixed number,  is made up of an integer and a (proper) fraction, e.g. 27 11/13

### how do i find the area of a rectangle 1 1/4 inches by 7.25 inches?

Let's work with either fractions or decimals, but not with both at the same time. We'll start with decimals. 1 1/4 inches is 1.25 inches (divide 4 into 1.00 to convert 1/4 to decimal: 1.00/4=0.25). Multiply 1.25 by 7.25=9.0625 sq in. To multiply the decimals you can use long multiplication to multiply 125 by 725, and put the decimal point in later. Where does it go? Count the number of digits following the decimal point for each number and add the counts together. Each has 2 digits after the decimal point and 2+2=4, so the decimal point goes in four digits from the end and 90625 becomes 9.0625. Let's work with fractions. We've seen that 0.25 is 1/4 so 7.25=7 1/4. To multiply two fractions together convert them to improper fractions: 1 1/4 is 5/4 (4 times the integer 1 plus the numerator 1 is 5 and divide by the fraction denominator); 7.25 is 7 1/4=29/4 (4 times 7 plus 1=29 divided by 4). Now multiply 5/4*29/4=145/16=9 1/16 sq in.

### ow do you turn this into a decimal!!??? please explain not just give an answer

ow do you turn this into a decimal!!??? please explain not just give an answer like just give an example please You haven't given us anything to work on. Apparently you are looking at a fraction and need to convert it to the equivalent decimal. I'll supply a fraction and explain the process. Say we have the fraction 4/9, and want to know what decimal it represents. What a fraction is saying is, "Divide the numerator (on top) by the denominator (on bottom)." So, do that.   ┌-------- 9│4.00000 The decimal point and zeroes are needed because the answer will be less than one.       .4   ┌-------- 9│4.00000 We divided 40 by 9 and got 4. Multiply 9 by that and put the result under the 4.0, then subtract. Bring down the next zero and repeat the process.       .4   ┌-------- 9│4.00000     3 6    ------       40       .44   ┌-------- 9│4.00000     3 6     ----       40       36       ---         4 This happens to be a repeating decimal; it goes on forever: 0.4444444444 No matter what the fraction, that is how you work it.

### how do u turn a fraction into a decimal using bar notation?

First of all bar notaiton means to put a bar on top of a or any numbers that repeat in decimal form. An example: 2/3 = .666666666......repeating so we write it .6 with a bar on top of the 6. Since the 6 repeats. Keep in mind when working with  fractions:  2/3 MEANS 2 divide by 3. If you can use a calculator this is actually the best method.  Keystrokes would be: 2                                      Divide symbol                                      3                                     = Should be .666666......number of 6's depends on number of places your calculator displays. Just write .6 with a bar on top of the 6.  In case you forgot or don't know: To change a mixed fraction into a single fraction such as 3 1/4. 1.   4 * 3     Multiply denominator (bottom number) with whole number (3)  which equals 12. 2. 12 + 1  Now ADD that 12 to the numerator (Top number) which is 1. That equals 13  this is your NEW numerator  Your denominator is the same which is 4 Therfore, your single fraction is 13/4 If you have a calculator you can compare. Take 13/4 = 3.25 which in decimal form is 3 1/4.   I hope this covers it. I hope this wasn't too confusing. Sorry if it was.

### How to find the degrees in a fraction ?

A decimal is a fraction in a sense. 2.3 is the same as 2 3/10. And 0.3 is the same as 3/10. 3/10 can be divided into thirds: 1/10+1/10+10 or 1/10+2/10 (1/10+1/5). So, you can take any decimal and count the decimal places. Remove the decimal point so that you are left with the number that formed the decimal then divide this by 1 followed by the same number of zeroes as there were decimal places. Example: 0.1234 is the same as 1234/10000. This cancels down to: 617/5000. Going back to 0.3, we can divide the decimal further: 0.3=3/10=1/25+3/50+2/15+1/15, and so on. When it comes to angles we can convert decimal angles into degrees, minutes and seconds. So 4.75º is 4º plus 0.75 of a degree. But a degree is 60 minutes and 0.75 is the same as 75/100=3/4. Therefore 0.75º is 3/4 of 60 minutes=3*60/4=45 minutes. And 4.75º=4º45'. Another example: 4.7625 = 4+7625/10000 = 4+61/80 = 4º45.75' = 4º45'45", because 61/80*60=183/4=45.75, and 0.75' =45" (seconds).

### what is 9/13 6/8 3/5 7/10 5/7 from least to greatest

One way to do this is to use the lowest common denominator of the factions. First, though, 6/8 can be reduced to 3/4. Since the LCD of 4, 5 and 10 is 20 and there are no other common factors in the other denominators, the LCD=1820 (=20*13*7). We then multiply each fraction by 1820, and write down the answers: 1260, 1365, 1092, 1274, 1300. These are easy to put in order: 1092, 1260, 1274, 1300, 1365. We now arrange the associated fractions in the same order: 3/5, 9/13, 7/10, 5/7, 6/8 (3/4). [When we multiply each fraction by 1820, we divide the denominator into 1820 and multiply the result by the numerator.] Another way is to convert each fraction into decimal and compare decimals. We only need a couple of places of decimals to make the comparisons: 0.69, 0.75, 0.60, 0.70, 0.71. This is the same as comparing: 69, 75, 60, 70, 71. The order is 60, 69, 70, 71, 75. An easy way to organise the fractions is to write the fractions on separate pieces of paper. On the back of each piece of paper write the number you are going to use in place of the fraction. Now you can easily arrange the papers in order according to the order of the replacement numbers. All you have to do then is to turn the papers over to see what the fraction order is.

### why is a decimal times a decimal alwayes less than 0

why is a decimal times a decimal alwayes less than 0 a decimal is a fraction.  if you remember the smaller the numbers in the fraction the larger the piece of the whole.  if you multiply the numbers are getting larger so the fraction is getting smaller.  it is aproaching zero, not one.