HOW TO CREATE YOUR OWN PIE FRACTION ?Things you need -
1) Pen or pencil 2) Paper or something to write on 3) Calculator 4) The value of pie is 3.141592654 There are two ways of creating a pie fraction - 1) HIT AND TRIAL METHOD It is some time consuming (about 10 or 20 minutes) but the best one to learn the value of pie till many decimal places. 2) ALGEBRA METHOD This is the easiest method to create one's own pie fraction by mere simple algebra but I would recommend it only when you have created at least 3 pie fractions using the HIT AND TRIAL METHOD since this method would never help you to learn the value of pie. HIT AND TRIAL METHODstep 1 : Find a fraction which has a value near to at least 3.1 for eg. 117/37.
step 2 : If the value is greater than 3.14 then Now start adding some digits after point in the denominator number(here 37) to make it more accurate to 3.141592654 and otherwise if the value is less than 3.14 then start adding digits after the number in (denominator - 1) for eg. here 36.something . step 3 : Follow the above steps and check it with the real value of pie again and again till you get an accurate fraction. ALgebra methodstep 1 : Find a rational number such that the numerator is at least 3 or 4 times the denominator.
for eg. a/b step 2 : now let us assume a variable x. Now use the following equation to get x - a/(b+x) = 3.141592654 step 3 : Now let us assume another variable c such that c = b+x. Get c. step 4 : Then a/c is the required pie fraction. THESE ARE THE METHODS TO CREATE YOUR VERY OWN PIE FRACTION AND IF ANY HELP IS REQUIRE CONTACT US. |
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MY FIRST PIE FRACTION
This was a huge one but it helped me to learn the value of pie till 10 decimal places in one stroke.