Fraction expressed by π

π is an irrational number and cannot be expressed in any fractional form. We can only use approximation instead of π to operate. 22/7 is a score that many people know. Most people think this figure is very accurate, but in fact it is quite wrong. In addition, there is another score called the secret rate: 355/ 1 13, which is an unforgettable score 1 13355. There is nothing closer to a score with both numerator and denominator within six figures. In addition, if you know π = 3.14159265358979 ... then you can write a score: 314159265358979/10000000 as the approximation.

The approximate score of π is 355/ 133.

No one is as simple as Chris Wong said. The divisor is not a multiple of 10.

π = 22/7π =115/3312006-1-1618: 05: 02 Supplement: Sorry.

π=22/7π= 1 13/355

22- can be used to express π, which was discovered by the Greek mathematician Archimedes. Its accuracy is only two decimal places. 355- Discovered by China mathematician Zu Chongzhi. Known as the ancestral rate, also known as the secret rate. 1 13 its accuracy is very high, reaching six decimal places, and the error is only 0.00000653589793 ... very small error, and its value range is 3. 14 15926 and 3.14/. This pi, which is accurate to six decimal places, is the closest value to π in this period, and the record was broken after 1000 years. Zu Chongzhi was born in A.D. (429-500), but his record was not broken until 1596 by a Dutch mathematician (Rudolf van Thuren). He correctly found the π value of 35 digits after the decimal point by polygon method (60x2^33 polygon). Mathematics is a never-ending knowledge 2007-05-1415: 31:45 supplement: pi is replaced by fractions, only 22/7 or 355/13 are used when calculating mathematics. No one has ever written 3141592 65358979/100000000000, because it is of little use, although it has high accuracy, it doesn't count. It is better to write 22/7 or 355/ 1 13.

Fraction expressed by π: Generally, 22/7 is more accurate.

But it is seldom used: 355/1132006-161617: 50: 23. π = 355/11. 2006-11-1617: 52: 40 Supplement: What is the longest answer above? Both digits are decimal.

Answer scores.

Reference: I, a math expert

In the experimental period, China ancient book cloud "One diameter on Wednesday" means π=3. The Egyptian ancient book Ames papyrus (Ahmes, also known as "Ames papyrus document") in the 0/7th century BC; It was discovered by Englishman Henry Rhind in 1858, so it is also called "Rhind Grass Piece Literature"). It is the earliest approximate value of pi in the world, which is 256/81(= 3+1/9+1/27+1/866. Before Archimedes, the measurement of π value depended on physical measurement. [Editor] Geometric Period-Repetitive Secant Circle Archimedes uses geometric methods to obtain pi between and. In 263 AD, Liu Hui gave π=3. 140 14 by using the "cyclotomy", and defined it as 3. 14, which is a good approximation-"If you cut it carefully, the loss will be small. If you cut again, you won't be able to cut any more, then you will fit the circle and have nothing missing. " 」; Have the idea of seeking the limit. In 466 AD, Zu Chongzhi used pi to calculate the accuracy to seven decimal places, and this record remained in the world for a thousand years. To commemorate Zu Chongzhi's contribution to the development of China's pi, this calculated value is named "Zu Chongzhi pi" after him, which is called "ancestral rate" for short. [Editor] Analysis Period-Infinite Series During this period, people began to get rid of complicated calculations by using the method of secant circle, and began to find π by using infinite series or infinite continuous product. Ludolph van ceulen (about 1600) calculated the first 35 decimal digits. He was so proud of it that he carved it on his tombstone. 1789, the Slovenian mathematician Jurij Vega got the first decimal number of 140, in which 137 was correct. This world record has been maintained for fifty years. He used the number formula proposed by John McKin in 1706. None of the above methods can calculate π quickly. The first fast algorithm was proposed by Machin: arctan(x) can be calculated by Taylor series. A similar method is called "machine-like algorithm".

The score of pi(π) is 3.14159265358979338462643832795, and the score is 22/7. 22 divided by 7 equals 3. 14 (with 3 significant digits) 22 ÷ 7 = 3. 1428 575.

22/7..3. 14 ..

22/7, but this is only the closest fraction to π.

Pi, generally expressed by π, is a common mathematical constant in mathematics and physics. It is defined as the ratio of the circumference to the diameter of a circle. It is also equal to the ratio of the area of a circle to the square of its radius. Accurate calculation of geometric shapes such as circle perimeter, circle area and sphere volume is the key. Analytically, π can be defined as the smallest x >;; 0 makes sin(x) = 0. Commonly used π values are sparsity: and density:. Both are from Zu Chongzhi. π is about equal to (accurate to decimal place 100) 3.14159 26535 89793 23846 26433 83279 50288 4197169399 375/. 286 20899 86280 34825 3421170680 π calculation and history Because of its transcendence, π can only be calculated by approximate method. For general application, 3. 14 may be enough, but in engineering, 3. 14 16 (5 significant digits) or 3. 14 159 (6 significant digits) are often used. As for the secret rate, it is easy to remember and accurate to 7 significant figures. [Editor] During the experimental period, China said in an ancient book that "the path is Wednesday and Monday", which means π=3. The Egyptian ancient book Ames papyrus (Ahmes, also known as "Ames papyrus document") in the 0/7th century BC; It was discovered by Englishman Henry Rhind in 1858, so it is also called "Rhind Grass Piece Literature"). It is the earliest approximate value of pi in the world, which is 256/81(= 3+1/9+1/27+1/866. Before Archimedes, the measurement of π value depended on physical measurement. [Editor] Geometric Period-Repetitive Secant Circle Archimedes uses geometric methods to obtain pi between and. In 263 AD, Liu Hui gave π=3. 140 14 by using the "cyclotomy", and defined it as 3. 14, which is a good approximation-"If you cut it carefully, the loss will be small. If you cut again, you won't be able to cut any more, then you will fit the circle and have nothing missing. " 」; Have the idea of seeking the limit. In 466 AD, Zu Chongzhi used pi to calculate the accuracy to seven decimal places, and this record remained in the world for a thousand years. To commemorate Zu Chongzhi's contribution to the development of China's pi, this calculated value is named "Zu Chongzhi pi" after him, which is called "ancestral rate" for short. [Editor] Analysis Period-Infinite Series During this period, people began to get rid of complicated calculations by using the method of secant circle, and began to find π by using infinite series or infinite continuous product. Ludolph van ceulen (about 1600) calculated the first 35 decimal digits. He was so proud of it that he carved it on his tombstone. 1789, the Slovenian mathematician Jurij Vega got the first decimal number of 140, in which 137 was correct. This world record has been maintained for fifty years. He used the number formula proposed by John McKin in 1706. None of the above methods can calculate π quickly. The first fast algorithm was proposed by Machin: arctan(x) can be calculated by Taylor series. A similar method is called "machine-like algorithm".

Reference: knowledge.yahoo

=22/7

π = 22 / 7

Reference: I