# Can pi be represented by a fraction?

Table of Contents

## Can pi be represented by a fraction?

Pi is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. That’s because pi is what mathematicians call an “infinite decimal” — after the decimal point, the digits go on forever and ever.

**Can pi be represented by a series?**

A stunning solution of the mystery was discovered by Indian mathematicians about 1500 ce: π can be represented by the infinite, but amazingly simple, series π4 = 1 − 13 + 15 − 17 +⋯. …

### What fraction gives you pi?

We all know that 22/7 is a very good approximation to pi. But this well-known fraction is is actually 1/791 larger than a slightly less-well-known but much more mysterious rational approximation for pi: . The fraction 355/113 is incredibly close to pi, within a third of a millionth of the exact value.

**What is the rule for pi?**

The formula for PI is the present value of future cash flows divided by the initial cost of the project. The PI rule is that a result above 1 indicates a go, while a result under 1 is a loser. The PI rule is a variation of the NPV rule.

## Is Pi a finite?

π is a finite number. It is irrational.

**Why is 3.14 called Pi?**

It was not until the 18th century — about two millennia after the significance of the number 3.14 was first calculated by Archimedes — that the name “pi” was first used to denote the number. “He used it because the Greek letter Pi corresponds with the letter ‘P’… and pi is about the perimeter of the circle.”

### Is pi a finite?

**How is Pi calculated manually?**

In some ways Pi (π) is a really straightforward number – calculating Pi simply involves taking any circle and dividing its circumference by its diameter. In fact if you search long enough within the digits of Pi (π) you can find any number, including your birthday.

## Is pi infinite in all bases?

And for natural numbers, Matthew’s answer applies: yes, pi (and every irrational number for that matter) has infinitely many numbers with no repeating pattern for every natural number base.