Before completing this challenge we need to revise some Maths concepts.

#### Fraction = numerator / denominator

In Maths a fraction consists of two numbers: a

**numerator**and a

**denominator**.

#### What is an improper fraction?

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

For instance:

^{7}⁄_{4}, ^{12}⁄_{10}, ^{21}⁄_{3} are all improper fractions.

#### What is a proper fraction?

A proper fraction is a fraction where the numerator is lower than to the denominator.

For instance:

^{7}⁄_{9}, ^{12}⁄_{21}, ^{3}⁄_{4} are all proper fractions.

#### What is a mixed number?

A mixed number is a number consisting of a whole number and a proper fraction.

For instance:

3^{1}⁄_{2}, 1^{3}⁄_{10}, 21^{3}⁄_{4} are all mixed numbers.

#### Converting improper fractions into mixed numbers

We can easily convert an improper fraction into a mixed number by calculating the

**quotient**and the

**remainder**from the improper fraction.

Mixed number = Quotient ^{Remainder}⁄_{Denominator}

For instance: Let’s convert ^{11}⁄_{4} into a mixed number

Step 1: Quotient (Whole Division): 11 DIV 4 = 2

Step 2: Remainder: 11 MOD 4 = 3

^{11}⁄_{4} = 2 ^{3}⁄_{4}

#### Quotient & Remainder in Python?

In Python you can use the

**// operator**to calculate the quotient of a fraction and the

**% operator**to calculate the remainder of a fraction.

For instance:

1 2 |
quotient = 11 // 4 remainder = 11 % 4 |

#### Python Challenge #1

Complete the code given below to convert an improper fraction into a mixed number by:

- Check that the user has entered a numerator and a denominator for an improper fraction. (The numerator should be greater or equal to the denominator).
- Calculate and display the mixed number corresponding to the given fraction.

#### Python Challenge #2

Create a Python script to convert a mixed number into an improper fraction.