Among the most famous is the fraction 22/7, a number that gets us very close to pi. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal. The two numbers π π and 22/7 22 / 7 are not equal, so there's no contradiction in one being rational and the other irrational.
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Therefore, based on the properties of rational numbers, the fraction.
Sometimes you use 22/7 22 / 7 as a number fairly close to π.
While it’s not exact (it equals roughly 3.142857), it’s easy to use and historically significant. These rational expressions are only accurate to a couple of decimal places, however. Archimedes wrote the first known proof that 22 7 is an overestimate in the 3rd century bce, although he may not have been the first to use that approximation. Have you ever wondered why the value of π (pi) is taken as 22/7?
Since 22/7 satisfies all the criteria for a rational number, we can confidently conclude that 22/7 is indeed a rational number. His proof proceeds by showing that 22 7 . 🤔 is it just a formula to memorise or is there a real mathematical reason behind it? Applying the same procedure to c96 gives us the approximants 3/1, 22/7, 3149/1002 and so on.
Though it is an irrational number, some use rational expressions to estimate pi, like 22/7 of 333/106.
22/7 is a good approximation for pi, accurate to two decimal places.
