Mixed Numbers Challenge

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:
3¹⁄₂, 1³⁄₁₀, 21³⁄₄ 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:

quotient = 11 // 4
remainder = 11 % 4

Python Challenge #1

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

1. 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).
2. 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.